Number

8,429,824

Positive
Even
Composite
7 digits

8,429,824 is an even 7-digit integer and a composite number. It has 72 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value8,429,824

Digit count7

Digit sum37

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^8 × 13 × 17 × 149

Distinct prime factors42, 13, 17, 149

Number of divisors72

Sum of divisors σ(n)19,315,800

Aliquot sum10,885,976sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)3,637,248integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 64, 68, 104, 128, 136, 149, 208, 221, 256, 272, 298, 416, 442, 544, 596, 832, 884, 1,088, 1,192, 1,664, 1,768, 1,937, 2,176, 2,384, 2,533, 3,328, 3,536, 3,874, 4,352, 4,768, 5,066, 7,072, 7,748, 9,536, 10,132, 14,144, 15,496, 19,072, 20,264, 28,288, 30,992, 32,929, 38,144, 40,528, 56,576, 61,984, 65,858, 81,056, 123,968, 131,716, 162,112, 247,936, 263,432, 324,224, 495,872, 526,864, 648,448, 1,053,728, 2,107,456, 4,214,912, 8,429,82472 in total

Arithmetic

Previous number8,429,823

Next number8,429,825

Double16,859,648

Half4,214,912

Square71,061,932,670,976

Cube599,039,585,516,177,588,224

Square root2,903.415919223≈irrational, shown to 9 decimal places

Cube root203.519566604≈

Negation-8,429,824

Reciprocal1.18626439 × 10^-7≈

Representations

Decimal8,429,824

Binary10000000101000010000000024 bits

Octal40120400

Hexadecimal80A100

Base 3650OHS

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

In wordseight million, four hundred and twenty-nine thousand, eight hundred and twenty-four

Ordinaleight million, four hundred and twenty-nine thousand, eight hundred and twenty-fourth

Scientific notation8.429824 × 10^6

Engineering notation8.429824 × 10^6

Nearest landmarks

Next prime8,429,831+7

Previous prime8,429,797−27

Distance to nearest prime7

Nearest square below8,427,409

Nearest square above8,433,216

Powers & multiples

8,429,824 to the power 271,061,932,670,976

8,429,824 to the power 3599,039,585,516,177,588,224

8,429,824 to the power 45,049,798,274,934,326,221,472,792,576

8,429,824 to the power 542,568,910,693,199,981,605,600,662,204,186,624

First ten multiples8,429,824, 16,859,648, 25,289,472, 33,719,296, 42,149,120, 50,578,944, 59,008,768, 67,438,592, 75,868,416, 84,298,240

Powers of twoBetween 2^23 (8,388,608) and 2^24 (16,777,216)

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 4

Divisible by 8Yes

Divisible by 9No, remainder 1

Divisible by 10No, remainder 4

Divisible by 11No, remainder 7

Divisible by 12No, remainder 4

Divisible by 100No, remainder 24

Collatz (3n + 1) trajectory

Steps to reach 1155the total stopping time

Highest value reached8,429,824

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

First steps8,429,824 → 4,214,912 → 2,107,456 → 1,053,728 → 526,864 → 263,432 → 131,716 → 65,858 → 32,929 → 98,788 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage842,982,400%

8,429,824% as a decimal84,298.24

8,429,824% of 1008,429,824

8,429,824% of 1,00084,298,240

As a fraction of 1008,429,824/100

Read another way

As seconds97 days, 13 hours and 37 minutes

As bytes8.039 MiB

As a 24-bit colour#80A100

Keep nerding

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