Number

13,987

Positive
Odd
Composite
5 digits

13,987 is an odd 5-digit integer and a composite number. It has 4 divisors and a digital root of 1.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value13,987

Digit count5

Digit sum28

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation71 × 197

Distinct prime factors271, 197

Number of divisors4

Sum of divisors σ(n)14,256

Aliquot sum269sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)13,720integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 71, 197, 13,9874 in total

Arithmetic

Previous number13,986

Next number13,988

Double27,974

Half6,993.5

Square195,636,169

Cube2,736,363,095,803

Square root118.266647877≈irrational, shown to 9 decimal places

Cube root24.093960367≈

Negation-13,987

Reciprocal0.000071495≈

Representations

Decimal13,987

Binary1101101010001114 bits

Octal33243

Hexadecimal36A3

Base 36ASJ

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

In wordsthirteen thousand, nine hundred and eighty-seven

Ordinalthirteen thousand, nine hundred and eighty-seventh

Scientific notation1.3987 × 10^4

Engineering notation13.987 × 10^3

Nearest landmarks

Next prime13,997+10

Previous prime13,967−20

Distance to nearest prime10

Nearest square below13,924

Nearest square above14,161

Powers & multiples

13,987 to the power 2195,636,169

13,987 to the power 32,736,363,095,803

13,987 to the power 438,273,510,620,996,561

13,987 to the power 5535,331,593,055,878,898,707

First ten multiples13,987, 27,974, 41,961, 55,948, 69,935, 83,922, 97,909, 111,896, 125,883, 139,870

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

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 1

Divisible by 8No, remainder 3

Divisible by 9No, remainder 1

Divisible by 10No, remainder 7

Divisible by 11No, remainder 6

Divisible by 12No, remainder 7

Divisible by 100No, remainder 87

Collatz (3n + 1) trajectory

Steps to reach 1107the total stopping time

Highest value reached62,9444× the starting value

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

First steps13,987 → 41,962 → 20,981 → 62,944 → 31,472 → 15,736 → 7,868 → 3,934 → 1,967 → 5,902 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,398,700%

13,987% as a decimal139.87

13,987% of 10013,987

13,987% of 1,000139,870

As a fraction of 10013,987/100

Read another way

As seconds3 hours, 53 minutes and 7 seconds

As bytes13.659 KiB

As a 24-bit colour#0036A3

Keep nerding

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