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.
= 2^{2} + 2^{2} + 2^{2} + 5^{2} = 4^{3} - 3^{3} 37^{2} = 12^{2} + 35^{2 }= 19^{2} - 18^{2} (Pythagorean triple)
37! + 1 is prime.
1/37 = 0.0**27**027027..., and 1/27 = 0.0**37**037037... (This is related to the fact that 37 x 27=999).
3.703703703703... x 10^{37} = 3 333 333 333 333^{3}
**37**27 is a prime number **37**273 is a prime number **37**2733 is a prime number **37**27333 is a prime number **37**273339 is a prime number **37**2733391 is a prime number **37**27333913 is a prime number **37**273339139 is a prime number
2^{37} = 1**37**438953472 37! = 1**37**63753091226345046315979581580902400000000
3^{2} + 7^{2} - 3 x 7 = 37 3 x (3 + 7) + 7 = 37 (3^{3} + 7^{3})/(3^{ }+ 7)^{ }= (4^{3} - 3^{3})/(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 = 0**3**7 37 x 10 = **3**70 37 x 19 = 70**3**
37 x 2 = 0**7**4 37 x 11 = 40**7** 37 x 20 = **7**40 |
37 x 4 = 1**4**8 37 x 13 = **4**81 37 x 22 = 81**4**
37 x 5 = 1**8**5 37 x 14 = 51**8** 37 x 23 = **8**51 |
37 x 7 = 2**5**9 37 x 16 = **5**92 37 x 25 = 92**5**
37 x 8 = 2**9**6 37 x 17 = 62**9** 37 x 26 = **9**62 | (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! Dudeney's prime magic square 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). |