[OK]

Privacy Policy + T&C

We use cookies to personalise our content and adverts. Information about your use of our site is shared with our advertising providers. You also agree to our terms and conditions (T&C).

BB Logo
Spacer
Line
Line
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 (Pythagorean triple)

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

If a 3-digit number of the form "ABC" is a multiple of 37, then so are numbers "BCA" and "CAB":

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)

geometric shapes37 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!

Dudeney's prime magic square
67143
133761
31737

'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.

 

 



We use cookies to personalise our content and adverts. Information about your use of our site is shared with our advertising providers. For more information please view our privacy policy. By using the site you also agree to our terms and conditions.

Line
Line