Look. I don’t know what you’re over there thinking about. It could be simple or sophisticated, mundane or whimsical, practical or creepy.
But I’m over here thinking about numbers. Again.
I’ve never been especially impressed by words. They’re mushy and sometimes pleasant and sometimes annoying. They’re subtle and subjective and rambly and flowy. Words are okay. Whatever.
But numbers. Numbers are fascinating and precise and satisfying and delicious and whatever it is you’re thinking about at any given time, there’s at least a 60% chance that I’m over here thinking about numbers.
So I’ve decided to do not one, but two consecutive posts on numbers, during which we’ll start at 1 and end up in a very scary place. Today, we’ll keep things in the realm of the ordinary and the conceivable, capping ourselves at a million.
The numbers between 1 and 1,000,000 are everywhere in daily life. 1, 10, 100, 1,000, 10,000, and 100,000 are our friends—we get them, they get us, and in this post, we’re basically gonna just hang out with them and catch up, since you probably haven’t been good at keeping in touch.
Let’s start at the beginning—
We’ll lead off with the extraordinarily dull 1.
1 likes to masquerade as this poetic and profound thing, getting used in sentences I don’t really understand, like “the oneness of all” or something annoying like that. But then anytime you actually spend time with 1, you end up bored.
1 is also no fun to play with. Multiplying or dividing things by it is an incredibly underwhelming experience, and it manages to be such a dud that somehow, it’s not a prime number even though it only has one factor.
As for the rest of the one-digit numbers, I enjoy 2, 4, and 8 because when I was seven I became obsessed with saying “2, 4, 8, 16, 32, 64, 128, 256, 512, 1,024, 2,048, 4,096” before hitting a wall,1 and I have an affinity for prime numbers, naturally, so 3, 5, and 7 fall into my favor. Not thrilled with 9, but at least it’s a perfect square. The only thing 6 offers my life is annoying the shit out of me every time I have to tell someone my phone number—(xxx)-666-xxxx—and they can’t help but have some reaction to that and then we end up in this little song-and-dance interaction about it.2
Let’s move on.
Getting to the two-digit numbers, interesting things finally start happening. 10 itself is a big one, because our entire base ten existence stems from it. Why did we end up in base ten (instead of something like base 8, which would go 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 20, etc.)? Because we have 10 fingers. It seems intuitive that only with base 10 could you multiply and divide so easily and simply add zeros or move a decimal point when shifting by multiples of 10, but that would be the case with any number system.3 Let’s look at some bigger numbers—
12 has the dozen thing going which is something, as well as factors up the dick. It’s also the number of people who have been on the moon.
Let’s pause for a second to acknowledge how ridiculously impressive it is that humans got humans onto the moon and safely back. And how lucky are those 12 guys? Could any life experience be more desirable than getting to bounce around the moon while looking at the Earth hovering out there in space?
Continuing along, I don’t know whose sister 13 slept with, but somewhere along the way it pissed off the wrong person and managed to become the only number with a legitimately bad reputation.
20’s worth mentioning just because I read during my research that only about 1 in 20 men in the US is 6’2″ or taller. So if you’re 6’2″ or taller, you’re the tallest of this average sampling of 20 American men—4
33 is relevant because of Larry Bird and because that’s what I turned on Wednesday thanks for wishing me a happy birthday none of you.
You might be surprised to know that only 1/43 Americans openly identifies as gay, lesbian, or bisexual, but that when asked in an anonymous and veiled survey, that number jumps to 8/43:
Not much else happening with the two-digit numbers until we arrive at sleazy 99, the price tag whore who’s made its whole living being the guy next to 100.
100 is a big deal and clearly knows it, but that’s fair. It’s the first three-digit number, but in our world, 100’s main role is being the overlord of the one and two-digit groups—it’s a century of years, the official “okay you win” age to reach, and the whole concept of percent is just comparing a part of 100 to all of 100. 100 is also a perfect square of another one of these fundamental numbers (i.e. 10, 100, 1,000, etc.), which is satisfying.
Being in the top 100th of a group in some way is also a thing. It looks like this:
If you’re in the red dot when it comes to wealth, you’re the notorious 1 percent and a lot of people will make signs that are mean to you. To be in the red dot among Americans, you need to make almost $400,000/year, but only about a tenth of that ($39,000 in 2011) to be in the red dot worldwide.
On the SAT, you’d be the red dot if you scored a 1480 out of 1600 or a 2200 out of 2400, and on the ACT, you’d need a 33. A Stanford-Binet IQ of 137 will make you the red dot too and would mean 99% of people are stupider than you.5
After 100, we’re about to get into superbly random number territory, but first we hit 101, a C-list number celebrity for a handful of small claims to fame, like 101 Dalmations and beginner courses and the West Coast US highway.
There are 444 Apple retail stores in the world:
If you deal five cards 508 times, you’ll average one flush:
And there are 12 million US dollar millionaires in the world, or 1 out of every 583 people. If your total assets (in excess of your total liabilities) add up to over $1,000,000, you’re the red dot in this diagram:
Four Digit Numbers
1,000 is also a huge deal in our world and has a bunch of nicknames, like a grand, a G, a kilo, and k. It’s also part of the elite chain of numbers in the “order-of-magnitude” chain, which we know as million, billion, trillion, etc. Million is actually the third number in that chain, with the dud 1 as the first number and 1,000 as the second number. And 1,000 is the key multiplier that defines the whole chain.
That said, 1,000’s dirty secret is that it’s a fraud like 10 and can’t be made into a square. The square root of 1,000 is an embarrassing 31.62277660168 etcetera without even a vinculum.7
Anyway, let’s look at some four-digit numbers and odds:
Here’s how many times a neutron star spins around every second:
And here’s how many minutes there are in each day:
A genius-level IQ of 150 will earn you red dot status on the thousand-dot intelligence diagram, but that doesn’t mean you got a perfect 1600 on the SAT—only the red dot in a 1,489-dot sample aces the SAT:
On a perfectly clear night, we can see about 2,500 stars in the night sky:
Here are all the seconds in an hour:
And here’s the number of religions in the world:
So there are more religions than the stars we see in the night sky, and you could name a religion every second and it would take you over an hour to name them all.
And here’s how many living languages there are in the world:
Finally, this is how many medium-sized (.5mm in diameter) grains of sand you could fit in a cubic centimeter box:
If 1,000 is a little overrated, 10,000 is underrated. No one talks about 10,000, but unlike the square rootless 1,000, 10,000 a perfect square of 100 100s, and 1% of a million.
Stephen Hawking’s IQ is supposedly 160, which would just qualify him to be the red dot in a 10,000 dot average sample of human intelligence. And just so you know, in an average group of 17,000 people, one will be an albino.
This is how many people fit in a sold-out Fenway Park:
The 55,030 Google employees would fill up a large stadium, as would Apple’s 50,250. Facebook is considerably smaller, with a staff of 8,348, while Wikipedia is running with only 208 people. You could fit the Craigslist team in a small bus:
And here’s how many seconds tick by every day:
100,000 is the most random main category number of this post. In life, it mostly comes up as a salary most people would really like to be making. It’s also getting very close to the largest number of people I can actually picture all together in one place. Michigan Stadium (The Big House) is just under 110,000, and the largest stadium in the world is India’s Salt Lake Stadium, with a capacity of 120,000. North Korea claims that its Rungnado May First Stadium holds 150,000 people, but North Korea also says that Kim Jong Il shot 11 holes-in-one on his first time trying golf so we’ll be sticking with Salt Lake Stadium as the world’s largest.8
Equal to the capacity of the world’s largest stadium is the number of abortions that happen in the world every day, on average:
That’s about 1/3 the amount of worldwide births per day, meaning a quarter of all pregnancies that don’t end in miscarriage end in abortion. That’s about the same as the rate in the US, but in New York City, 41 of every 100 non-miscarried pregnancies are aborted. And no, this isn’t meant to be a political statement of any kind, just an interesting (and to me, surprising) statistic, so just settle down.
Good luck. See you at the bottom—
Sorry. A million dots is a lot of dots.
And how small are one-in-a-million odds? How much of a long shot is one-in-a-million? Just try to find the red dot in the million dots above.
This image is the only way I can think of to visualize what a million or what one-in-a million actually means.
A million is interesting because it’s huge—but it’s also the smallest of the big boys, just small enough that you can still picture it or depict it on a diagram. It’s right on the border between the world we can wrap our heads around and the world of the totally inconceivable.
That red dot, if you found it, is a good thing to keep in mind next time you buy a 1-in-146 million Powerball ticket, or anytime you hear facts like one out of every 11 million airplane flights crashes. A one-in-a-million long shot is the same as rolling three 100-sided dice and trying to hit the number 63 with all three of them in one roll.
If you want to play around with taking a one-in-a-million shot at something, pick a number between 1 and 1,000,000, say it out loud, and then click Generate below and try to hit it (or two other ways to do it: 1) Change the max number to 1,000 and try to hit the number you say with the next two clicks; 2) Change the max number to 100 and try to hit a chosen number three times in a row):
The Million-Dot Poster
I like both the number 1,000,000 and the number 1/1,000,000, and I love any chance to visualize them. A blog post that can only fit 200 dots horizontally isn’t an ideal way to visualize a million because it makes a 1 x 25 rectangle you have to scroll down for an hour to see all of. So we’ve made a million-dot poster.
The poster is, satisfyingly, a square. A 24″ x 24″ (61cm x 61cm) poster with a 1,000 dot x 1,000 dot square of a million total dots. This allows you to most effectively visualize the number one million (it also helps to visualize 5 or 10 or 100 million, or even a billion, by picturing multiple posters next to each other).
And, of course, one of the dots is red. It takes a hunt to find it,9 but once you do, you can understand exactly what 1/1,000,000 means. So one poster, two extreme numbers to visualize. You can check it out here.
Here’s what the plain one looks like:
A closer shot, showing the red dot in the middle:
And a close-up shot, showing the red dot:
Numbers post #2: From 1,000,000 to Graham’s Number
Related Wait But Why Posts
The other children were playing outside.↩
At least at some point I’ll have a new phone number—oh wait, whatever your first smartphone number was is now your number for eternity.↩
Yes, that was kind of a random fact to have brought into this—get used to it cause this whole post is just gonna be me throwing haphazard shit at you.↩
IQ is kind of a fake concept, but quantifying everyone’s intelligence with a number is fun anyway.↩
I’m not sure how many of those people are deaf, but there are 600,000 functionally deaf people in the US, or 1 out of every 454 people.↩
The WordPress spellchecker underlined vinculum even though it’s a word, because WordPress is appalled by where I’ve gone with this post.↩
I’ve also been in that North Korea stadium (where I took this video), and it seemed about the same size as a typical NFL stadium. I originally had this note as part of that last sentence, but it seemed one notch too braggy for a non-footnote.↩
Bonus points to anyone who can figure out why the dot is where it is on the grid.↩