Numbers have been used for things for thousands of years, longer if we count stopping for lunch. But surely the greatest breakthrough was when people started to use numbers for numbers, instead of the other way around. So let’s take a chance to review some interesting and quirky facts about various numbers and avoid the people who make a big fuss about the difference between numbers and numerals.

**-20.** This the so-called “ambiguous point”, as for negative numbers less than this, it’s clear that “becoming bigger” means a more negative number; while for numbers greater than this, “becoming bigger” might mean becoming more negative or more positive depending on just how quarrelsome the person you’re trying to speak with is being.

**-8.** According to most historians of mathematics, this is the number which should properly be 0 so as to make the number line work wholly sensibly.

**-4.** This is of historic importance as -4 was the first expansion number ever to appear in the playoffs, and (three years later) was the first to win. This set off a “gold rush” as people sought easy success in other negative numbers and while the field has proved useful this pioneering number, as so often happens, saw its fortunes dwindle. In 1964 a statewide reorganization merged it with negative 5 and negative pi, but the need to establish a regional snow-clearing plan means that its administrative organization is equivalent to being a separate number in all but legal name.

**0.78.** Packing fraction for pretty much everything.

**1.000000 … 00003.** This is the smallest number that’s still larger than 1.

**6.** This is the average number of days the typical American will lose, per year, to chanting the drum parts of the theme from George of the Jungle. Of course, while you’re busy chanting it the day doesn’t seem lost at all; if anything, it seems to be picking up quite nicely and actually going into the lyrics feels like a mild step down.

**4.587.** This is a phony number slipped in as a copyright trap by the Hammond World Atlas Corporation. The four was based on a real number (seven), but the digits past the decimal are believed to have been selected by Caleb Stillson Hammond as the sort of whimsy for which he was so well known. It slipped into the regular number line following a famous yet confusing court ruling which determined that whatever Lieutenant Columbo’s first name was, it wasn’t “Lucius”.

**8.** This is a most popular base for numbers among people who are fans of base eight, such as those who are programming computers in the 1960s. Some adherents insist we should move to base eight, on the grounds of they have reasons, but they overlook the increased property taxes which combined with moving expenses make the prospect wholly uneconomical. Just nod vacantly and scuttle off to some important business, possibly in base five.

**16.** This is a fascinating number as it records the number of additional years after the invention of the atomic bomb that it required humanity to successfully write the song “On Top Of Spaghetti”.

**17.113.** The most seventeen-est of numbers, according to a survey of leading mathematics departments who were kidding. There’s just no appreciation for good sarcasm anymore.

**18.** And this is the number of additional years after the invention of the atomic bomb that it required humanity to successfully record “On Top Of Spaghetti”.

**138.** This is the smallest number (by avoirdupois weight) to never be used for anything except appearances in lists of numbers with some interesting or uninteresting property to them.

**311.** This is the number most convincingly prime-like of all the numbers people can’t be bothered to quite figure out whether is prime or not. 313 is a pretty good one too except that one really feels like it ought to be divisible by 17. We keep checking it to make sure it hasn’t changed its mind.

**.** This is a popular number among people who think they’re being puckishly whimsical about algebra or who have stumbled across the mathematical equivalent of “how do I know I’m not just dreaming I’m awake?” The answer is that if you were just dreaming you were awake, you would know whether the blue you see is the same hue as the red other people see. See also: Boltzmann brains.

**.** The scariest quaternion in the world.

* [ Also, for the non-bots following me, and who like mathematics stuff, I do keep up a mathematics-focused blog, with less efforts on my part to be generally silly. ] *

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