Number

1,048,576

Positive
Even
Composite
Perfect square
7 digits

1,048,576 is an even 7-digit integer and a composite number. It has 21 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,048,576

Digit count7

Digit sum31

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 1,024²

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^20

Distinct prime factors12

Number of divisors21

Sum of divisors σ(n)2,097,151

Aliquot sum1,048,575sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)524,288integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1,024, 2,048, 4,096, 8,192, 16,384, 32,768, 65,536, 131,072, 262,144, 524,288, 1,048,57621 in total

Arithmetic

Previous number1,048,575

Next number1,048,577

Double2,097,152

Half524,288

Square1,099,511,627,776

Cube1,152,921,504,606,846,976

Square root1,024exact

Cube root101.593667326≈

Negation-1,048,576

Reciprocal9.53674316 × 10^-7≈

Representations

Decimal1,048,576

Binary10000000000000000000021 bits

Octal4000000

Hexadecimal100000

Base 36MH34

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

In wordsone million, forty-eight thousand, five hundred and seventy-six

Ordinalone million, forty-eight thousand, five hundred and seventy-sixth

Scientific notation1.048576 × 10^6

Engineering notation1.048576 × 10^6

Nearest landmarks

Next prime1,048,583+7

Previous prime1,048,573−3

Distance to nearest prime3

Nearest square below1,048,576

Nearest square above1,050,625

Powers & multiples

1,048,576 to the power 21,099,511,627,776

1,048,576 to the power 31,152,921,504,606,846,976

1,048,576 to the power 41,208,925,819,614,629,174,706,176

1,048,576 to the power 51,267,650,600,228,229,401,496,703,205,376

First ten multiples1,048,576, 2,097,152, 3,145,728, 4,194,304, 5,242,880, 6,291,456, 7,340,032, 8,388,608, 9,437,184, 10,485,760

Powers of twoExactly 2^20

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5No, remainder 1

Divisible by 6No, remainder 4

Divisible by 7No, remainder 4

Divisible by 8Yes

Divisible by 9No, remainder 4

Divisible by 10No, remainder 6

Divisible by 11No, remainder 1

Divisible by 12No, remainder 4

Divisible by 100No, remainder 76

Collatz (3n + 1) trajectory

Steps to reach 120the total stopping time

Highest value reached1,048,576

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

First steps1,048,576 → 524,288 → 262,144 → 131,072 → 65,536 → 32,768 → 16,384 → 8,192 → 4,096 → 2,048 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage104,857,600%

1,048,576% as a decimal10,485.76

1,048,576% of 1001,048,576

1,048,576% of 1,00010,485,760

As a fraction of 1001,048,576/100

Read another way

As seconds12 days, 3 hours and 16 minutes

As bytes1 MiB

As a 24-bit colour#100000

Keep nerding

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