Number
73
- Positive
- Odd
- Prime
- 2 digits
73 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 value73
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 factorisation73
Distinct prime factors173
Number of divisors2
Sum of divisors σ(n)74
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)72integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 732 in total
Arithmetic
Representations
Decimal73
Binary10010017 bits
Octal111
Hexadecimal49
Base 3621
Roman numeralLXXIII
In wordsseventy-three
Ordinalseventy-third
Scientific notation7.3 × 10^1
Engineering notation73
Nearest landmarks
Powers & multiples
73 to the power 25,329
73 to the power 3389,017
73 to the power 428,398,241
73 to the power 52,073,071,593
First ten multiples73, 146, 219, 292, 365, 438, 511, 584, 657, 730
Powers of twoBetween 2^6 (64) and 2^7 (128)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9No, remainder 1
Divisible by 10No, remainder 3
Divisible by 11No, remainder 7
Divisible by 12No, remainder 1
Divisible by 100No, remainder 73
Collatz (3n + 1) trajectory
Steps to reach 1115the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps73 → 220 → 110 → 55 → 166 → 83 → 250 → 125 → 376 → 188 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage7,300%
73% as a decimal0.73
73% of 10073
73% of 1,000730
As a fraction of 10073/100
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