Number
59
- Positive
- Odd
- Prime
- 2 digits
59 is an odd 2-digit integer and a prime number. It has 2 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value59
Digit count2
Digit sum14
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation59
Distinct prime factors159
Number of divisors2
Sum of divisors σ(n)60
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)58integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 592 in total
Arithmetic
Representations
Decimal59
Binary1110116 bits
Octal73
Hexadecimal3B
Base 361N
Roman numeralLIX
In wordsfifty-nine
Ordinalfifty-ninth
Scientific notation5.9 × 10^1
Engineering notation59
Nearest landmarks
Powers & multiples
59 to the power 23,481
59 to the power 3205,379
59 to the power 412,117,361
59 to the power 5714,924,299
First ten multiples59, 118, 177, 236, 295, 354, 413, 472, 531, 590
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 5
Divisible by 7No, remainder 3
Divisible by 8No, remainder 3
Divisible by 9No, remainder 5
Divisible by 10No, remainder 9
Divisible by 11No, remainder 4
Divisible by 12No, remainder 11
Divisible by 100No, remainder 59
Collatz (3n + 1) trajectory
Steps to reach 132the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps59 → 178 → 89 → 268 → 134 → 67 → 202 → 101 → 304 → 152 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage5,900%
59% as a decimal0.59
59% of 10059
59% of 1,000590
As a fraction of 10059/100
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