Number

10,406

Positive
Even
Composite
5 digits

10,406 is an even 5-digit integer and a composite number. It has 12 divisors and a digital root of 2.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value10,406

Digit count5

Digit sum11

Digital root2repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 11^2 × 43

Distinct prime factors32, 11, 43

Number of divisors12

Sum of divisors σ(n)17,556

Aliquot sum7,150sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)4,620integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 11, 22, 43, 86, 121, 242, 473, 946, 5,203, 10,40612 in total

Arithmetic

Previous number10,405

Next number10,407

Double20,812

Half5,203

Square108,284,836

Cube1,126,812,003,416

Square root102.00980345≈irrational, shown to 9 decimal places

Cube root21.832054519≈

Negation-10,406

Reciprocal0.0000960984≈

Representations

Decimal10,406

Binary1010001010011014 bits

Octal24246

Hexadecimal28A6

Base 36812

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

In wordsten thousand, four hundred and six

Ordinalten thousand, four hundred and sixth

Scientific notation1.0406 × 10^4

Engineering notation10.406 × 10^3

Nearest landmarks

Next prime10,427+21

Previous prime10,399−7

Distance to nearest prime7

Nearest square below10,404

Nearest square above10,609

Powers & multiples

10,406 to the power 2108,284,836

10,406 to the power 31,126,812,003,416

10,406 to the power 411,725,605,707,546,896

10,406 to the power 5122,016,652,992,732,999,776

First ten multiples10,406, 20,812, 31,218, 41,624, 52,030, 62,436, 72,842, 83,248, 93,654, 104,060

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4No, remainder 2

Divisible by 5No, remainder 1

Divisible by 6No, remainder 2

Divisible by 7No, remainder 4

Divisible by 8No, remainder 6

Divisible by 9No, remainder 2

Divisible by 10No, remainder 6

Divisible by 11Yes

Divisible by 12No, remainder 2

Divisible by 100No, remainder 6

Collatz (3n + 1) trajectory

Steps to reach 1179the total stopping time

Highest value reached33,3523× the starting value

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

First steps10,406 → 5,203 → 15,610 → 7,805 → 23,416 → 11,708 → 5,854 → 2,927 → 8,782 → 4,391 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,040,600%

10,406% as a decimal104.06

10,406% of 10010,406

10,406% of 1,000104,060

As a fraction of 10010,406/100

Read another way

As seconds2 hours, 53 minutes and 26 seconds

As bytes10.162 KiB

As a 24-bit colour#0028A6

Keep nerding

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