Number
67
- Positive
- Odd
- Prime
- 2 digits
67 is an odd 2-digit integer and a prime number. It has 2 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value67
Digit count2
Digit sum13
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation67
Distinct prime factors167
Number of divisors2
Sum of divisors σ(n)68
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)66integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 672 in total
Arithmetic
Representations
Decimal67
Binary10000117 bits
Octal103
Hexadecimal43
Base 361V
Roman numeralLXVII
In wordssixty-seven
Ordinalsixty-seventh
Scientific notation6.7 × 10^1
Engineering notation67
Nearest landmarks
Powers & multiples
67 to the power 24,489
67 to the power 3300,763
67 to the power 420,151,121
67 to the power 51,350,125,107
First ten multiples67, 134, 201, 268, 335, 402, 469, 536, 603, 670
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 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 1
Divisible by 7No, remainder 4
Divisible by 8No, remainder 3
Divisible by 9No, remainder 4
Divisible by 10No, remainder 7
Divisible by 11No, remainder 1
Divisible by 12No, remainder 7
Divisible by 100No, remainder 67
Collatz (3n + 1) trajectory
Steps to reach 127the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps67 → 202 → 101 → 304 → 152 → 76 → 38 → 19 → 58 → 29 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage6,700%
67% as a decimal0.67
67% of 10067
67% of 1,000670
As a fraction of 10067/100
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