Number

67,121

Positive
Odd
Prime
5 digits

67,121 is an odd 5-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 value67,121

Digit count5

Digit sum17

Digital root8repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation67,121

Distinct prime factors167,121

Number of divisors2

Sum of divisors σ(n)67,122

Aliquot sum1sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)67,120integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 67,1212 in total

Arithmetic

Previous number67,120

Next number67,122

Double134,242

Half33,560.5

Square4,505,228,641

Cube302,395,451,612,561

Square root259.077208569≈irrational, shown to 9 decimal places

Cube root40.639916416≈

Negation-67,121

Reciprocal0.0000148985≈

Representations

Decimal67,121

Binary1000001100011000117 bits

Octal203061

Hexadecimal10631

Base 361FSH

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordssixty-seven thousand, one hundred and twenty-one

Ordinalsixty-seven thousand, one hundred and twenty-first

Scientific notation6.7121 × 10^4

Engineering notation67.121 × 10^3

Nearest landmarks

Next prime67,129+8

Previous prime67,103−18

Distance to nearest prime0, it is prime

Nearest square below67,081

Nearest square above67,600

Powers & multiples

67,121 to the power 24,505,228,641

67,121 to the power 3302,395,451,612,561

67,121 to the power 420,297,085,107,686,706,881

67,121 to the power 51,362,360,649,513,039,452,559,601

First ten multiples67,121, 134,242, 201,363, 268,484, 335,605, 402,726, 469,847, 536,968, 604,089, 671,210

Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 2

Divisible by 4No, remainder 1

Divisible by 5No, remainder 1

Divisible by 6No, remainder 5

Divisible by 7No, remainder 5

Divisible by 8No, remainder 1

Divisible by 9No, remainder 8

Divisible by 10No, remainder 1

Divisible by 11No, remainder 10

Divisible by 12No, remainder 5

Divisible by 100No, remainder 21

Collatz (3n + 1) trajectory

Steps to reach 1112the total stopping time

Highest value reached201,3643× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps67,121 → 201,364 → 100,682 → 50,341 → 151,024 → 75,512 → 37,756 → 18,878 → 9,439 → 28,318 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage6,712,100%

67,121% as a decimal671.21

67,121% of 10067,121

67,121% of 1,000671,210

As a fraction of 10067,121/100

Read another way

As seconds18 hours, 38 minutes and 41 seconds

As bytes65.548 KiB

As a 24-bit colour#010631

Keep nerding

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