Number

13,401

Positive
Odd
Composite
5 digits

13,401 is an odd 5-digit integer and a composite number. It has 6 divisors and a digital root of 9.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value13,401

Digit count5

Digit sum9

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation3^2 × 1,489

Distinct prime factors23, 1,489

Number of divisors6

Sum of divisors σ(n)19,370

Aliquot sum5,969sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)8,928integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 3, 9, 1,489, 4,467, 13,4016 in total

Arithmetic

Previous number13,400

Next number13,402

Double26,802

Half6,700.5

Square179,586,801

Cube2,406,642,720,201

Square root115.762688289≈irrational, shown to 9 decimal places

Cube root23.752668214≈

Negation-13,401

Reciprocal0.0000746213≈

Representations

Decimal13,401

Binary1101000101100114 bits

Octal32131

Hexadecimal3459

Base 36AC9

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

In wordsthirteen thousand, four hundred and one

Ordinalthirteen thousand, four hundred and first

Scientific notation1.3401 × 10^4

Engineering notation13.401 × 10^3

Nearest landmarks

Next prime13,411+10

Previous prime13,399−2

Distance to nearest prime2

Nearest square below13,225

Nearest square above13,456

Powers & multiples

13,401 to the power 2179,586,801

13,401 to the power 32,406,642,720,201

13,401 to the power 432,251,419,093,413,601

13,401 to the power 5432,201,267,270,835,667,001

First ten multiples13,401, 26,802, 40,203, 53,604, 67,005, 80,406, 93,807, 107,208, 120,609, 134,010

Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 1

Divisible by 5No, remainder 1

Divisible by 6No, remainder 3

Divisible by 7No, remainder 3

Divisible by 8No, remainder 1

Divisible by 9Yes

Divisible by 10No, remainder 1

Divisible by 11No, remainder 3

Divisible by 12No, remainder 9

Divisible by 100No, remainder 1

Collatz (3n + 1) trajectory

Steps to reach 1120the total stopping time

Highest value reached45,2323× the starting value

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

First steps13,401 → 40,204 → 20,102 → 10,051 → 30,154 → 15,077 → 45,232 → 22,616 → 11,308 → 5,654 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,340,100%

13,401% as a decimal134.01

13,401% of 10013,401

13,401% of 1,000134,010

As a fraction of 10013,401/100

Read another way

As seconds3 hours, 43 minutes and 21 seconds

As bytes13.087 KiB

As a 24-bit colour#003459

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.