Number

13,183

Positive
Odd
Prime
5 digits

13,183 is an odd 5-digit integer and a prime number. It has 2 divisors and a digital root of 7.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityPrime

Absolute value13,183

Digit count5

Digit sum16

Digital root7repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation13,183

Distinct prime factors113,183

Number of divisors2

Sum of divisors σ(n)13,184

Aliquot sum1sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)13,182integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 13,1832 in total

Arithmetic

Previous number13,182

Next number13,184

Double26,366

Half6,591.5

Square173,791,489

Cube2,291,093,199,487

Square root114.817246091≈irrational, shown to 9 decimal places

Cube root23.623165036≈

Negation-13,183

Reciprocal0.0000758553≈

Representations

Decimal13,183

Binary1100110111111114 bits

Octal31577

Hexadecimal337F

Base 36A67

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

In wordsthirteen thousand, one hundred and eighty-three

Ordinalthirteen thousand, one hundred and eighty-third

Scientific notation1.3183 × 10^4

Engineering notation13.183 × 10^3

Nearest landmarks

Next prime13,187+4

Previous prime13,177−6

Distance to nearest prime0, it is prime

Nearest square below12,996

Nearest square above13,225

Powers & multiples

13,183 to the power 2173,791,489

13,183 to the power 32,291,093,199,487

13,183 to the power 430,203,481,648,837,121

13,183 to the power 5398,172,498,576,619,766,143

First ten multiples13,183, 26,366, 39,549, 52,732, 65,915, 79,098, 92,281, 105,464, 118,647, 131,830

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 3

Divisible by 6No, remainder 1

Divisible by 7No, remainder 2

Divisible by 8No, remainder 7

Divisible by 9No, remainder 7

Divisible by 10No, remainder 3

Divisible by 11No, remainder 5

Divisible by 12No, remainder 7

Divisible by 100No, remainder 83

Collatz (3n + 1) trajectory

Steps to reach 1244the total stopping time

Highest value reached975,40073× the starting value

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

First steps13,183 → 39,550 → 19,775 → 59,326 → 29,663 → 88,990 → 44,495 → 133,486 → 66,743 → 200,230 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,318,300%

13,183% as a decimal131.83

13,183% of 10013,183

13,183% of 1,000131,830

As a fraction of 10013,183/100

Read another way

As seconds3 hours, 39 minutes and 43 seconds

As bytes12.874 KiB

As a 24-bit colour#00337F

Keep nerding

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