Recognised as Number

1,024,764

Positive
Even
Composite
7 digits

1,024,764 is an even 7-digit integer and a composite number. It has 24 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,024,764

Digit count7

Digit sum24

Digit product0zero, because one of the digits is zero

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

Digital root6repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3 × 13 × 6,569

Distinct prime factors42, 3, 13, 6,569

Number of divisors24

Sum of divisors σ(n)2,575,440

Aliquot sum1,550,676sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)315,264integers below n that share no factor with it

Carmichael function λ(n)19,704the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 315,264

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 6,569, 13,138, 19,707, 26,276, 39,414, 78,828, 85,397, 170,794, 256,191, 341,588, 512,382, 1,024,76424 in total

Arithmetic

Previous number1,024,763

Next number1,024,765

Double2,049,528

Half512,382

Square1,050,141,255,696

Cube1,076,146,953,752,055,744

Square root1,012.306277764≈irrational, shown to 9 decimal places

Cube root100.818744939≈

Negation-1,024,764

Reciprocal9.75834436 × 10^-7≈

Representations

Decimal1,024,764

Binary1111101000101111110020 bits

Octal3721374

HexadecimalFA2FC

Base 36LYPO

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

In wordsone million, twenty-four thousand, seven hundred and sixty-four

Ordinalone million, twenty-four thousand, seven hundred and sixty-fourth

Scientific notation1.024764 × 10^6

Engineering notation1.024764 × 10^6

In other bases

Ternary1221001201020base 3; the most digit-efficient integer base after e: 13 digits

Quinary230243024base 5; one hand: 9 digits

Septenary11465436base 7: 8 digits

Nonary1831636base 9; each digit is two ternary digits: 7 digits

Duodecimal415050base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal681i4base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal4:44:39:24base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T0T101TT011T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100001110011100001100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011111010001011111100

Bit length20 bitsto write the magnitude

Set bits13the population count, or Hamming weight

Zero bits7within that length

Bit parityodd13 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 a2 fc

Gray code10000111001110000010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011111010001011111100

64-bit0000000000000000000000000000000000000000000011111010001011111100

One's complement11111111111100000101110100000011at 32 bits, every bit flipped

Bits reversed00111111010001011111000000000000at 32 bits

Rotated left by 100000000000111110100010111111000at 32 bits, wrapping

Shifted left by 1111110100010111111000= 2,049,528, no wrap

Shifted right by 11111101000101111110= 512,382, discarding the low bit

These bits as a double5.06300687 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,024,783+19

Previous prime1,024,757−7

Distance to nearest prime7

Nearest square below1,024,144

Nearest square above1,026,169

Powers & multiples

1,024,764 to the power 21,050,141,255,696

1,024,764 to the power 31,076,146,953,752,055,744

1,024,764 to the power 41,102,796,656,914,771,652,444,416

1,024,764 to the power 51,130,106,313,326,609,057,645,549,517,824

First ten multiples1,024,764, 2,049,528, 3,074,292, 4,099,056, 5,123,820, 6,148,584, 7,173,348, 8,198,112, 9,222,876, 10,247,640

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 4

Divisible by 6Yes

Divisible by 7No, remainder 6

Divisible by 8No, remainder 4

Divisible by 9No, remainder 6

Divisible by 10No, remainder 4

Divisible by 11No, remainder 4

Divisible by 12Yes

Divisible by 100No, remainder 64

Collatz (3n + 1) trajectory

Steps to reach 1227the total stopping time

Highest value reached5,836,3725× the starting value

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

First steps1,024,764 → 512,382 → 256,191 → 768,574 → 384,287 → 1,152,862 → 576,431 → 1,729,294 → 864,647 → 2,593,942 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage102,476,400%

1,024,764% as a decimal10,247.64

1,024,764% of 1001,024,764

1,024,764% of 1,00010,247,640

As a fraction of 1001,024,764/100

Read another way

As seconds11 days, 20 hours and 39 minutes

As bytes1,000.746 KiB

As a 24-bit colour#0FA2FC

Keep nerding

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