Recognised as Number

1,008,088

Positive
Even
Composite
7 digits

1,008,088 is an even 7-digit integer and a composite number. It has 8 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,008,088

Digit count7

Digit sum25

Digit product0zero, because one of the digits is zero

Multiplicative persistence1times the digit product can be taken before one digit is left

Digital root7repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 126,011

Distinct prime factors22, 126,011

Number of divisors8

Sum of divisors σ(n)1,890,180

Aliquot sum882,092sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)504,040integers below n that share no factor with it

Carmichael function λ(n)126,010the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 504,040

Möbius function μ(n)0zero, because a prime divides n twice

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 126,011, 252,022, 504,044, 1,008,0888 in total

Arithmetic

Previous number1,008,087

Next number1,008,089

Double2,016,176

Half504,044

Square1,016,241,415,744

Cube1,024,460,776,314,537,472

Square root1,004.035855933≈irrational, shown to 9 decimal places

Cube root100.268876407≈

Negation-1,008,088

Reciprocal9.91976891 × 10^-7≈

Representations

Decimal1,008,088

Binary1111011000011101100020 bits

Octal3660730

HexadecimalF61D8

Base 36LLUG

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

In wordsone million, eight thousand and eighty-eight

Ordinalone million, eight thousand and eighty-eighth

Scientific notation1.008088 × 10^6

Engineering notation1.008088 × 10^6

In other bases

Ternary1220012211121base 3; the most digit-efficient integer base after e: 13 digits

Quinary224224323base 5; one hand: 9 digits

Septenary11366014base 7: 8 digits

Nonary1805747base 9; each digit is two ternary digits: 7 digits

Duodecimal407474base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal66048base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal4:40:1:28base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T0T01T00TTTT1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100001010011000101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011110110000111011000

Bit length20 bitsto write the magnitude

Set bits11the population count, or Hamming weight

Zero bits9within that length

Bit parityodd11 set bits, so odd; not the same as the number itself being even

Highest set bitbit 19worth 524,288

Lowest set bitbit 33 trailing zeros

Power of twoNo

Bytes30f 61 d8

Gray code10001101000100110100n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011110110000111011000

64-bit0000000000000000000000000000000000000000000011110110000111011000

One's complement11111111111100001001111000100111at 32 bits, every bit flipped

Bits reversed00011011100001101111000000000000at 32 bits

Rotated left by 100000000000111101100001110110000at 32 bits, wrapping

Shifted left by 1111101100001110110000= 2,016,176, no wrap

Shifted right by 11111011000011101100= 504,044, discarding the low bit

These bits as a double4.98061649 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,008,101+13

Previous prime1,008,043−45

Distance to nearest prime13

Nearest square below1,008,016

Nearest square above1,010,025

Powers & multiples

1,008,088 to the power 21,016,241,415,744

1,008,088 to the power 31,024,460,776,314,537,472

1,008,088 to the power 41,032,746,615,073,369,451,073,536

1,008,088 to the power 51,041,099,469,696,082,863,193,818,759,168

First ten multiples1,008,088, 2,016,176, 3,024,264, 4,032,352, 5,040,440, 6,048,528, 7,056,616, 8,064,704, 9,072,792, 10,080,880

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 5No, remainder 3

Divisible by 6No, remainder 4

Divisible by 7No, remainder 4

Divisible by 8Yes

Divisible by 9No, remainder 7

Divisible by 10No, remainder 8

Divisible by 11No, remainder 4

Divisible by 12No, remainder 4

Divisible by 100No, remainder 88

Collatz (3n + 1) trajectory

Steps to reach 1196the total stopping time

Highest value reached1,021,8761× the starting value

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

First steps1,008,088 → 504,044 → 252,022 → 126,011 → 378,034 → 189,017 → 567,052 → 283,526 → 141,763 → 425,290 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,808,800%

1,008,088% as a decimal10,080.88

1,008,088% of 1001,008,088

1,008,088% of 1,00010,080,880

As a fraction of 1001,008,088/100

Read another way

As seconds11 days, 16 hours and 1 minute

As bytes984.461 KiB

As a 24-bit colour#0F61D8

Keep nerding

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