Number

17,104

Positive
Even
Composite
5 digits

17,104 is an even 5-digit integer and a composite number. It has 10 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value17,104

Digit count5

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 factorisation2^4 × 1,069

Distinct prime factors22, 1,069

Number of divisors10

Sum of divisors σ(n)33,170

Aliquot sum16,066sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)8,544integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 16, 1,069, 2,138, 4,276, 8,552, 17,10410 in total

Arithmetic

Previous number17,103

Next number17,105

Double34,208

Half8,552

Square292,546,816

Cube5,003,720,740,864

Square root130.782261794≈irrational, shown to 9 decimal places

Cube root25.765143322≈

Negation-17,104

Reciprocal0.0000584659≈

Representations

Decimal17,104

Binary10000101101000015 bits

Octal41320

Hexadecimal42D0

Base 36D74

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

In wordsseventeen thousand, one hundred and four

Ordinalseventeen thousand, one hundred and fourth

Scientific notation1.7104 × 10^4

Engineering notation17.104 × 10^3

Nearest landmarks

Next prime17,107+3

Previous prime17,099−5

Distance to nearest prime3

Nearest square below16,900

Nearest square above17,161

Powers & multiples

17,104 to the power 2292,546,816

17,104 to the power 35,003,720,740,864

17,104 to the power 485,583,639,551,737,856

17,104 to the power 51,463,822,570,892,924,289,024

First ten multiples17,104, 34,208, 51,312, 68,416, 85,520, 102,624, 119,728, 136,832, 153,936, 171,040

Powers of twoBetween 2^14 (16,384) and 2^15 (32,768)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6No, remainder 4

Divisible by 7No, remainder 3

Divisible by 8Yes

Divisible by 9No, remainder 4

Divisible by 10No, remainder 4

Divisible by 11No, remainder 10

Divisible by 12No, remainder 4

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 127the total stopping time

Highest value reached17,104

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

First steps17,104 → 8,552 → 4,276 → 2,138 → 1,069 → 3,208 → 1,604 → 802 → 401 → 1,204 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,710,400%

17,104% as a decimal171.04

17,104% of 10017,104

17,104% of 1,000171,040

As a fraction of 10017,104/100

Read another way

As seconds4 hours, 45 minutes and 4 seconds

As bytes16.703 KiB

As a 24-bit colour#0042D0

Keep nerding

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