Number

1,000,000

Positive
Even
Composite
Perfect square
Perfect cube
7 digits

1,000,000 is an even 7-digit integer and a composite number. It has 49 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,000,000

Digit count7

Digit sum1

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 1,000²

Perfect cubeYes, 100³

Happy numberYessquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^6 × 5^6

Distinct prime factors22, 5

Number of divisors49

Sum of divisors σ(n)2,480,437

Aliquot sum1,480,437sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)400,000integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1,000, 1,250, 1,600, 2,000, 2,500, 3,125, 4,000, 5,000, 6,250, 8,000, 10,000, 12,500, 15,625, 20,000, 25,000, 31,250, 40,000, 50,000, 62,500, 100,000, 125,000, 200,000, 250,000, 500,000, 1,000,00049 in total

Arithmetic

Previous number999,999

Next number1,000,001

Double2,000,000

Half500,000

Square1,000,000,000,000

Cube1,000,000,000,000,000,000

Square root1,000exact

Cube root100

Negation-1,000,000

Reciprocal0.000001≈

Representations

Decimal1,000,000

Binary1111010000100100000020 bits

Octal3641100

HexadecimalF4240

Base 36LFLS

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

In wordsone million

Ordinalone millionth

Scientific notation1 × 10^6

Engineering notation1 × 10^6

Nearest landmarks

Next prime1,000,003+3

Previous prime999,983−17

Distance to nearest prime3

Nearest square below1,000,000

Nearest square above1,002,001

Powers & multiples

1,000,000 to the power 21,000,000,000,000

1,000,000 to the power 31,000,000,000,000,000,000

1,000,000 to the power 41,000,000,000,000,000,000,000,000

1,000,000 to the power 51,000,000,000,000,000,000,000,000,000,000

First ten multiples1,000,000, 2,000,000, 3,000,000, 4,000,000, 5,000,000, 6,000,000, 7,000,000, 8,000,000, 9,000,000, 10,000,000

Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6No, remainder 4

Divisible by 7No, remainder 1

Divisible by 8Yes

Divisible by 9No, remainder 1

Divisible by 10Yes

Divisible by 11No, remainder 1

Divisible by 12No, remainder 4

Divisible by 100Yes

Collatz (3n + 1) trajectory

Steps to reach 1152the total stopping time

Highest value reached1,000,000

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

First steps1,000,000 → 500,000 → 250,000 → 125,000 → 62,500 → 31,250 → 15,625 → 46,876 → 23,438 → 11,719 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,000,000%

1,000,000% as a decimal10,000

1,000,000% of 1001,000,000

1,000,000% of 1,00010,000,000

As a fraction of 1001,000,000/100

Read another way

As seconds11 days, 13 hours and 46 minutes

As bytes976.563 KiB

As a 24-bit colour#0F4240

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