Recognised as Number

1,200,472

Positive
Even
Composite
7 digits

1,200,472 is an even 7-digit integer and a composite number. It has 64 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,200,472

Digit count7

Digit sum16

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 numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 7 × 13 × 17 × 97

Distinct prime factors52, 7, 13, 17, 97

Number of divisors64

Sum of divisors σ(n)2,963,520

Aliquot sum1,763,048sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)442,368integers below n that share no factor with it

Carmichael function λ(n)96the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 442,368

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 7, 8, 13, 14, 17, 26, 28, 34, 52, 56, 68, 91, 97, 104, 119, 136, 182, 194, 221, 238, 364, 388, 442, 476, 679, 728, 776, 884, 952, 1,261, 1,358, 1,547, 1,649, 1,768, 2,522, 2,716, 3,094, 3,298, 5,044, 5,432, 6,188, 6,596, 8,827, 10,088, 11,543, 12,376, 13,192, 17,654, 21,437, 23,086, 35,308, 42,874, 46,172, 70,616, 85,748, 92,344, 150,059, 171,496, 300,118, 600,236, 1,200,47264 in total

Arithmetic

Previous number1,200,471

Next number1,200,473

Double2,400,944

Half600,236

Square1,441,133,022,784

Cube1,730,039,842,127,554,048

Square root1,095.660531369≈irrational, shown to 9 decimal places

Cube root106.279787727≈

Negation-1,200,472

Reciprocal8.33005684 × 10^-7≈

Representations

Decimal1,200,472

Binary10010010100010101100021 bits

Octal4450530

Hexadecimal125158

Base 36PQAG

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

In wordsone million, two hundred thousand, four hundred and seventy-two

Ordinalone million, two hundred thousand, four hundred and seventy-second

Scientific notation1.200472 × 10^6

Engineering notation1.200472 × 10^6

In other bases

Ternary2020222201221base 3; the most digit-efficient integer base after e: 13 digits

Quinary301403342base 5; one hand: 9 digits

Septenary13126630base 7: 8 digits

Nonary2228657base 9; each digit is two ternary digits: 7 digits

Duodecimal49a874base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal7a13cbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal5:33:27:52base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T1T1000T1T0T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101100101011010101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000100100101000101011000

Bit length21 bitsto write the magnitude

Set bits8the population count, or Hamming weight

Zero bits13within that length

Bit parityeven8 set bits, so even; not the same as the number itself being even

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 33 trailing zeros

Power of twoNo

Bytes312 51 58

Gray code110110111100111110100n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000100100101000101011000

64-bit0000000000000000000000000000000000000000000100100101000101011000

One's complement11111111111011011010111010100111at 32 bits, every bit flipped

Bits reversed00011010100010100100100000000000at 32 bits

Rotated left by 100000000001001001010001010110000at 32 bits, wrapping

Shifted left by 11001001010001010110000= 2,400,944, no wrap

Shifted right by 110010010100010101100= 600,236, discarding the low bit

These bits as a double5.93111974 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,200,491+19

Previous prime1,200,467−5

Distance to nearest prime5

Nearest square below1,199,025

Nearest square above1,201,216

Powers & multiples

1,200,472 to the power 21,441,133,022,784

1,200,472 to the power 31,730,039,842,127,554,048

1,200,472 to the power 42,076,864,389,358,549,063,110,656

1,200,472 to the power 52,493,217,547,222,036,110,890,575,429,632

First ten multiples1,200,472, 2,400,944, 3,601,416, 4,801,888, 6,002,360, 7,202,832, 8,403,304, 9,603,776, 10,804,248, 12,004,720

Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5No, remainder 2

Divisible by 6No, remainder 4

Divisible by 7Yes

Divisible by 8Yes

Divisible by 9No, remainder 7

Divisible by 10No, remainder 2

Divisible by 11No, remainder 9

Divisible by 12No, remainder 4

Divisible by 100No, remainder 72

Collatz (3n + 1) trajectory

Steps to reach 1116the total stopping time

Highest value reached1,200,472

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

First steps1,200,472 → 600,236 → 300,118 → 150,059 → 450,178 → 225,089 → 675,268 → 337,634 → 168,817 → 506,452 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage120,047,200%

1,200,472% as a decimal12,004.72

1,200,472% of 1001,200,472

1,200,472% of 1,00012,004,720

As a fraction of 1001,200,472/100

Read another way

As seconds13 days, 21 hours and 27 minutes

As bytes1.145 MiB

As a 24-bit colour#125158

Keep nerding

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