Number
37
- Positive
- Odd
- Prime
- 2 digits
37 is an odd 2-digit integer and a prime number. It has 2 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value37
Digit count2
Digit sum10
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation37
Distinct prime factors137
Number of divisors2
Sum of divisors σ(n)38
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)36integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 372 in total
Arithmetic
Representations
Decimal37
Binary1001016 bits
Octal45
Hexadecimal25
Base 3611
Roman numeralXXXVII
In wordsthirty-seven
Ordinalthirty-seventh
Scientific notation3.7 × 10^1
Engineering notation37
Nearest landmarks
Powers & multiples
37 to the power 21,369
37 to the power 350,653
37 to the power 41,874,161
37 to the power 569,343,957
First ten multiples37, 74, 111, 148, 185, 222, 259, 296, 333, 370
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 1
Divisible by 7No, remainder 2
Divisible by 8No, remainder 5
Divisible by 9No, remainder 1
Divisible by 10No, remainder 7
Divisible by 11No, remainder 4
Divisible by 12No, remainder 1
Divisible by 100No, remainder 37
Collatz (3n + 1) trajectory
Steps to reach 121the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps37 → 112 → 56 → 28 → 14 → 7 → 22 → 11 → 34 → 17 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage3,700%
37% as a decimal0.37
37% of 10037
37% of 1,000370
As a fraction of 10037/100
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