Today is Day 37 of 2016

37

is a hexagonal number because it can be arranged in a pattern of nested hexagons: 37 = 1 + 6 + 12 + 18.
is the maximum number of 5th powers needed to sum to any integer (Hilbert-Waring's problem).

If you ask someone to think of any number from 1 to 50, one people out of three answers 37. Strangely, if you ask someone else to think of any number from 1 to 5, the probability that he/she will answer 3 is one out of three; and if you ask to think of any number from 5 to 10 instead, the probability that he/she will answer 7 is also one out of three! -- G. Sarcone

is a 'psychologically random number' - that is a number which is chosen more often when someone is asked to pick a number (usually this kind of number is odd and doesn't end in 5, because there is a natural psychological bias to think of even numbers and numbers that end in 5 are 'less random'). 37 appears disproportionately in television and movies.

On a calculator, any row, column or diagonal typed forwards and then backwards is divisible by 37. For example:
147741 divided by 37 = 3993
852258 divided by 37 = 23034
753357 divided by 37 = 20361
- Posted by Tim Barss -

A 6-digit number in which the first 3 digits are consecutively-increasing numbers; and the last 3 digits, consecutively-decreasing numbers, is divisible by 37. For instance, the numbers 123987, 234765 and 567543 are all divisible by 37.

= 22 + 22 + 22 + 52
= 43 - 33
372 = 122 + 352 = 192 - 182

37! + 1 is prime.

1/37 = 0.027027027..., and 1/27 = 0.037037037... (This is related to the fact that 37 x 27=999).

3.703703703703... x 1037 = 3 333 333 333 3333

3727 is a prime number
37273 is a prime number
372733 is a prime number
3727333 is a prime number
37273339 is a prime number
372733391 is a prime number
3727333913 is a prime number
37273339139 is a prime number

237 = 137438953472
37! = 13763753091226345046315979581580902400000000

32 + 72 - 3 x 7 = 37
3 x (3 + 7) + 7 = 37
(33 + 73)/(3 + 7) = (43 - 33)/(4 - 3) = 37
333/(3 x 3) = 37
33 + 3 + 3/3 = 37

3 x 37 = 111 and 1 + 1 + 1 = 3
6 x 37 = 222 and 2 + 2 + 2 = 6
9 x 37 = 333 and 3 + 3 + 3 = 9
12 x 37 = 444 and 4 + 4 + 4 = 12
15 x 37 = 555 and 5 + 5 + 5 = 15
18 x 37 = 666 and 6 + 6 + 6 = 18
21 x 37 = 777 and 7 + 7 + 7 = 21
24 x 37 = 888 and 8 + 8 + 8 = 24
27 x 37 = 999 and 9 + 9 + 9 = 27

 37 x  1  = 037 37 x 10 = 370 37 x 19 = 703 37 x  2  = 074 37 x 11 = 407 37 x 20 = 740 37 x  4  = 148 37 x 13 = 481 37 x 22 = 814 37 x  5  = 185 37 x 14 = 518 37 x 23 = 851 37 x  7  = 259 37 x 16 = 592 37 x 25 = 925 37 x  8  = 296 37 x 17 = 629 37 x 26 = 962 (multiplication with multiples of 3 see previous note)

37 uniform counters may be arranged on a flat surface to form any one of three symmetrical patterns shown opposite: hexagon, hexagram and octagon.

37 minutes (and 5 seconds) is about a Golden Section of an hour!

 67 1 43 13 37 61 31 73 7

'Normal' human body temperature is approx. 37 degrees Celsius.

The Carthaginian general Hannibal Barca began his trip across the Alps with 37 war elephants: "Annibal relicto in Hispania fratre Hasdrubale, Pyrenaeum transiit; Alpes, adhuc ea parte invias, sibi patefecit. Traditur ad Italiam LXXX milia peditum et XX millia equitum, septem et XXX elephantos adduxisse" (Flavius Eutropius).

Many thanks are extended to Archimedes' Lab for their information.

37

Today is day number   of 2016. Below are various representations of the number 37, some dating thousands of years, and some very modern.

 Chinese Egyptian Mayan Babylonian Greek Abacus Roman Hex Binary

Many thanks are extended to Jo Edkins for her wonderful work.