Number

9,018,009

Positive
Odd
Composite
Perfect square
7 digits

9,018,009 is an odd 7-digit integer and a composite number. It has 81 divisors and a digital root of 9.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value9,018,009

Digit count7

Digit sum27

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 3,003²

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3^2 × 7^2 × 11^2 × 13^2

Distinct prime factors43, 7, 11, 13

Number of divisors81

Sum of divisors σ(n)18,035,199

Aliquot sum9,017,190sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)4,324,320integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 3, 7, 9, 11, 13, 21, 33, 39, 49, 63, 77, 91, 99, 117, 121, 143, 147, 169, 231, 273, 363, 429, 441, 507, 539, 637, 693, 819, 847, 1,001, 1,089, 1,183, 1,287, 1,521, 1,573, 1,617, 1,859, 1,911, 2,541, 3,003, 3,549, 4,719, 4,851, 5,577, 5,733, 5,929, 7,007, 7,623, 8,281, 9,009, 10,647, 11,011, 13,013, 14,157, 16,731, 17,787, 20,449, 21,021, 24,843, 33,033, 39,039, 53,361, 61,347, 63,063, 74,529, 77,077, 91,091, 99,099, 117,117, 143,143, 184,041, 231,231, 273,273, 429,429, 693,693, 819,819, 1,002,001, 1,288,287, 3,006,003, 9,018,00981 in total

Arithmetic

Previous number9,018,008

Next number9,018,010

Double18,036,018

Half4,509,004.5

Square81,324,486,324,081

Cube733,384,949,590,939,374,729

Square root3,003exact

Cube root208.147031458≈

Negation-9,018,009

Reciprocal1.10889222 × 10^-7≈

Representations

Decimal9,018,009

Binary10001001100110101001100124 bits

Octal42315231

Hexadecimal899A99

Base 365DAC9

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

In wordsnine million, eighteen thousand and nine

Ordinalnine million, eighteen thousand and ninth

Scientific notation9.018009 × 10^6

Engineering notation9.018009 × 10^6

Nearest landmarks

Next prime9,018,011+2

Previous prime9,017,977−32

Distance to nearest prime2

Nearest square below9,018,009

Nearest square above9,024,016

Powers & multiples

9,018,009 to the power 281,324,486,324,081

9,018,009 to the power 3733,384,949,590,939,374,729

9,018,009 to the power 46,613,672,075,875,637,599,760,494,561

9,018,009 to the power 559,642,154,303,295,182,755,378,537,795,549,049

First ten multiples9,018,009, 18,036,018, 27,054,027, 36,072,036, 45,090,045, 54,108,054, 63,126,063, 72,144,072, 81,162,081, 90,180,090

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 1

Divisible by 5No, remainder 4

Divisible by 6No, remainder 3

Divisible by 7Yes

Divisible by 8No, remainder 1

Divisible by 9Yes

Divisible by 10No, remainder 9

Divisible by 11Yes

Divisible by 12No, remainder 9

Divisible by 100No, remainder 9

Collatz (3n + 1) trajectory

Steps to reach 1331the total stopping time

Highest value reached5,135,178,760569× the starting value

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

First steps9,018,009 → 27,054,028 → 13,527,014 → 6,763,507 → 20,290,522 → 10,145,261 → 30,435,784 → 15,217,892 → 7,608,946 → 3,804,473 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage901,800,900%

9,018,009% as a decimal90,180.09

9,018,009% of 1009,018,009

9,018,009% of 1,00090,180,090

As a fraction of 1009,018,009/100

Read another way

As seconds104 days, 9 hours and 9 seconds

As bytes8.6 MiB

As a 24-bit colour#899A99

Keep nerding

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