Number
53
- Positive
- Odd
- Prime
- 2 digits
53 is an odd 2-digit integer and a prime number. It has 2 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value53
Digit count2
Digit sum8
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation53
Distinct prime factors153
Number of divisors2
Sum of divisors σ(n)54
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)52integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 532 in total
Arithmetic
Representations
Decimal53
Binary1101016 bits
Octal65
Hexadecimal35
Base 361H
Roman numeralLIII
In wordsfifty-three
Ordinalfifty-third
Scientific notation5.3 × 10^1
Engineering notation53
Nearest landmarks
Powers & multiples
53 to the power 22,809
53 to the power 3148,877
53 to the power 47,890,481
53 to the power 5418,195,493
First ten multiples53, 106, 159, 212, 265, 318, 371, 424, 477, 530
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 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 4
Divisible by 8No, remainder 5
Divisible by 9No, remainder 8
Divisible by 10No, remainder 3
Divisible by 11No, remainder 9
Divisible by 12No, remainder 5
Divisible by 100No, remainder 53
Collatz (3n + 1) trajectory
Steps to reach 111the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps53 → 160 → 80 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage5,300%
53% as a decimal0.53
53% of 10053
53% of 1,000530
As a fraction of 10053/100
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