Number

10,201

Positive
Odd
Composite
Perfect square
5 digits

10,201 is an odd 5-digit integer and a composite number. It has 3 divisors and a digital root of 4.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value10,201

Digit count5

Digit sum4

Digital root4repeated digit sum

PalindromicYesreads the same backwards

Perfect squareYes, 101²

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation101^2

Distinct prime factors1101

Number of divisors3

Sum of divisors σ(n)10,303

Aliquot sum102sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)10,100integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 101, 10,2013 in total

Arithmetic

Previous number10,200

Next number10,202

Double20,402

Half5,100.5

Square104,060,401

Cube1,061,520,150,601

Square root101exact

Cube root21.687737556≈

Negation-10,201

Reciprocal0.0000980296≈

Representations

Decimal10,201

Binary1001111101100114 bits

Octal23731

Hexadecimal27D9

Base 367VD

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

In wordsten thousand, two hundred and one

Ordinalten thousand, two hundred and first

Scientific notation1.0201 × 10^4

Engineering notation10.201 × 10^3

Nearest landmarks

Next prime10,211+10

Previous prime10,193−8

Distance to nearest prime8

Nearest square below10,201

Nearest square above10,404

Powers & multiples

10,201 to the power 2104,060,401

10,201 to the power 31,061,520,150,601

10,201 to the power 410,828,567,056,280,801

10,201 to the power 5110,462,212,541,120,451,001

First ten multiples10,201, 20,402, 30,603, 40,804, 51,005, 61,206, 71,407, 81,608, 91,809, 102,010

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 1

Divisible by 5No, remainder 1

Divisible by 6No, remainder 1

Divisible by 7No, remainder 2

Divisible by 8No, remainder 1

Divisible by 9No, remainder 4

Divisible by 10No, remainder 1

Divisible by 11No, remainder 4

Divisible by 12No, remainder 1

Divisible by 100No, remainder 1

Collatz (3n + 1) trajectory

Steps to reach 142the total stopping time

Highest value reached34,4323× the starting value

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

First steps10,201 → 30,604 → 15,302 → 7,651 → 22,954 → 11,477 → 34,432 → 17,216 → 8,608 → 4,304 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,020,100%

10,201% as a decimal102.01

10,201% of 10010,201

10,201% of 1,000102,010

As a fraction of 10010,201/100

Read another way

As seconds2 hours, 50 minutes and 1 second

As bytes9.962 KiB

As a 24-bit colour#0027D9

Keep nerding

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