Recognised as Number

1,472,368

Positive
Even
Composite
7 digits

1,472,368 is an even 7-digit integer and a composite number. It has 20 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,472,368

Digit count7

Digit sum31

Digit product8,064

Multiplicative persistence2times the digit product can be taken before one digit is left

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^4 × 23 × 4,001

Distinct prime factors32, 23, 4,001

Number of divisors20

Sum of divisors σ(n)2,977,488

Aliquot sum1,505,120sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)704,000integers below n that share no factor with it

Carmichael function λ(n)44,000the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 704,000

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 4,001, 8,002, 16,004, 32,008, 64,016, 92,023, 184,046, 368,092, 736,184, 1,472,36820 in total

Arithmetic

Previous number1,472,367

Next number1,472,369

Double2,944,736

Half736,184

Square2,167,867,527,424

Cube3,191,898,775,618,220,032

Square root1,213.41171908≈irrational, shown to 9 decimal places

Cube root113.764157961≈

Negation-1,472,368

Reciprocal6.79178032 × 10^-7≈

Representations

Decimal1,472,368

Binary10110011101110111000021 bits

Octal5473560

Hexadecimal167770

Base 36VK34

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

In wordsone million, four hundred and seventy-two thousand, three hundred and sixty-eight

Ordinalone million, four hundred and seventy-two thousand, three hundred and sixty-eighth

Scientific notation1.472368 × 10^6

Engineering notation1.472368 × 10^6

In other bases

Ternary2202210201011base 3; the most digit-efficient integer base after e: 13 digits

Quinary334103433base 5; one hand: 9 digits

Septenary15341422base 7: 8 digits

Nonary2683634base 9; each digit is two ternary digits: 7 digits

Duodecimal5b0094base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal940i8base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:48:59:28base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10T10T11T01011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11010111000100010110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101100111011101110000

Bit length21 bitsto write the magnitude

Set bits12the population count, or Hamming weight

Zero bits9within that length

Bit parityeven12 set bits, so even; not the same as the number itself being even

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 44 trailing zeros

Power of twoNo

Bytes316 77 70

Gray code111010100110011001000n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101100111011101110000

64-bit0000000000000000000000000000000000000000000101100111011101110000

One's complement11111111111010011000100010001111at 32 bits, every bit flipped

Bits reversed00001110111011100110100000000000at 32 bits

Rotated left by 100000000001011001110111011100000at 32 bits, wrapping

Shifted left by 11011001110111011100000= 2,944,736, no wrap

Shifted right by 110110011101110111000= 736,184, discarding the low bit

These bits as a double7.27446447 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,472,371+3

Previous prime1,472,333−35

Distance to nearest prime3

Nearest square below1,471,369

Nearest square above1,473,796

Powers & multiples

1,472,368 to the power 22,167,867,527,424

1,472,368 to the power 33,191,898,775,618,220,032

1,472,368 to the power 44,699,649,616,459,447,392,075,776

1,472,368 to the power 56,919,613,706,487,163,637,775,826,157,568

First ten multiples1,472,368, 2,944,736, 4,417,104, 5,889,472, 7,361,840, 8,834,208, 10,306,576, 11,778,944, 13,251,312, 14,723,680

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 3

Divisible by 6No, remainder 4

Divisible by 7No, remainder 2

Divisible by 8Yes

Divisible by 9No, remainder 4

Divisible by 10No, remainder 8

Divisible by 11No, remainder 7

Divisible by 12No, remainder 4

Divisible by 100No, remainder 68

Collatz (3n + 1) trajectory

Steps to reach 1194the total stopping time

Highest value reached1,702,2761× the starting value

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

First steps1,472,368 → 736,184 → 368,092 → 184,046 → 92,023 → 276,070 → 138,035 → 414,106 → 207,053 → 621,160 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage147,236,800%

1,472,368% as a decimal14,723.68

1,472,368% of 1001,472,368

1,472,368% of 1,00014,723,680

As a fraction of 1001,472,368/100

Read another way

As seconds17 days, 59 minutes and 28 seconds

As bytes1.404 MiB

As a 24-bit colour#167770

Keep nerding

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