Recognised as Number

1,012,788

Positive
Even
Composite
7 digits

1,012,788 is an even 7-digit integer and a composite number. It has 36 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,012,788

Digit count7

Digit sum27

Digit product0zero, because one of the digits is zero

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

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3^2 × 7 × 4,019

Distinct prime factors42, 3, 7, 4,019

Number of divisors36

Sum of divisors σ(n)2,926,560

Aliquot sum1,913,772sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)289,296integers below n that share no factor with it

Carmichael function λ(n)12,054the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 289,296

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 4,019, 8,038, 12,057, 16,076, 24,114, 28,133, 36,171, 48,228, 56,266, 72,342, 84,399, 112,532, 144,684, 168,798, 253,197, 337,596, 506,394, 1,012,78836 in total

Arithmetic

Previous number1,012,787

Next number1,012,789

Double2,025,576

Half506,394

Square1,025,739,532,944

Cube1,038,856,690,091,287,872

Square root1,006.37368805≈irrational, shown to 9 decimal places

Cube root100.424462434≈

Negation-1,012,788

Reciprocal9.87373468 × 10^-7≈

Representations

Decimal1,012,788

Binary1111011101000011010020 bits

Octal3672064

HexadecimalF7434

Base 36LPH0

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

In wordsone million, twelve thousand, seven hundred and eighty-eight

Ordinalone million, twelve thousand, seven hundred and eighty-eighth

Scientific notation1.012788 × 10^6

Engineering notation1.012788 × 10^6

In other bases

Ternary1220110021200base 3; the most digit-efficient integer base after e: 13 digits

Quinary224402123base 5; one hand: 9 digits

Septenary11415510base 7: 8 digits

Nonary1813250base 9; each digit is two ternary digits: 7 digits

Duodecimal40a130base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal66bj8base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal4:41:19:48base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T0T011010TT00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100001011010001110100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011110111010000110100

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 22 trailing zeros

Power of twoNo

Bytes30f 74 34

Gray code10001100111000101110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011110111010000110100

64-bit0000000000000000000000000000000000000000000011110111010000110100

One's complement11111111111100001000101111001011at 32 bits, every bit flipped

Bits reversed00101100001011101111000000000000at 32 bits

Rotated left by 100000000000111101110100001101000at 32 bits, wrapping

Shifted left by 1111101110100001101000= 2,025,576, no wrap

Shifted right by 11111011101000011010= 506,394, discarding the low bit

These bits as a double5.00383757 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,012,789+1

Previous prime1,012,771−17

Distance to nearest prime1

Nearest square below1,012,036

Nearest square above1,014,049

Powers & multiples

1,012,788 to the power 21,025,739,532,944

1,012,788 to the power 31,038,856,690,091,287,872

1,012,788 to the power 41,052,141,589,444,175,261,307,136

1,012,788 to the power 51,065,596,376,089,987,374,548,731,655,168

First ten multiples1,012,788, 2,025,576, 3,038,364, 4,051,152, 5,063,940, 6,076,728, 7,089,516, 8,102,304, 9,115,092, 10,127,880

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

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5No, remainder 3

Divisible by 6Yes

Divisible by 7Yes

Divisible by 8No, remainder 4

Divisible by 9Yes

Divisible by 10No, remainder 8

Divisible by 11No, remainder 7

Divisible by 12Yes

Divisible by 100No, remainder 88

Collatz (3n + 1) trajectory

Steps to reach 182the total stopping time

Highest value reached1,012,788

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

First steps1,012,788 → 506,394 → 253,197 → 759,592 → 379,796 → 189,898 → 94,949 → 284,848 → 142,424 → 71,212 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage101,278,800%

1,012,788% as a decimal10,127.88

1,012,788% of 1001,012,788

1,012,788% of 1,00010,127,880

As a fraction of 1001,012,788/100

Read another way

As seconds11 days, 17 hours and 19 minutes

As bytes989.051 KiB

As a 24-bit colour#0F7434

Keep nerding

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