Recognised as Number

1,012,024

Positive
Even
Composite
7 digits

1,012,024 is an even 7-digit integer and a composite number. It has 32 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,012,024

Digit count7

Digit sum10

Digit product0zero, because one of the digits is zero

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

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 13 × 37 × 263

Distinct prime factors42, 13, 37, 263

Number of divisors32

Sum of divisors σ(n)2,106,720

Aliquot sum1,094,696sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)452,736integers below n that share no factor with it

Carmichael function λ(n)4,716the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 452,736

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 263, 296, 481, 526, 962, 1,052, 1,924, 2,104, 3,419, 3,848, 6,838, 9,731, 13,676, 19,462, 27,352, 38,924, 77,848, 126,503, 253,006, 506,012, 1,012,02432 in total

Arithmetic

Previous number1,012,023

Next number1,012,025

Double2,024,048

Half506,012

Square1,024,192,576,576

Cube1,036,507,468,116,749,824

Square root1,005.994035768≈irrational, shown to 9 decimal places

Cube root100.399204239≈

Negation-1,012,024

Reciprocal9.88118859 × 10^-7≈

Representations

Decimal1,012,024

Binary1111011100010011100020 bits

Octal3670470

HexadecimalF7138

Base 36LOVS

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

In wordsone million, twelve thousand and twenty-four

Ordinalone million, twelve thousand and twenty-fourth

Scientific notation1.012024 × 10^6

Engineering notation1.012024 × 10^6

In other bases

Ternary1220102020101base 3; the most digit-efficient integer base after e: 13 digits

Quinary224341044base 5; one hand: 9 digits

Septenary11413336base 7: 8 digits

Nonary1812211base 9; each digit is two ternary digits: 7 digits

Duodecimal4097b4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal66a14base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal4:41:7:4base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T0T011T1T0101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100001011000101001000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011110111000100111000

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 71 38

Gray code10001100100110100100n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011110111000100111000

64-bit0000000000000000000000000000000000000000000011110111000100111000

One's complement11111111111100001000111011000111at 32 bits, every bit flipped

Bits reversed00011100100011101111000000000000at 32 bits

Rotated left by 100000000000111101110001001110000at 32 bits, wrapping

Shifted left by 1111101110001001110000= 2,024,048, no wrap

Shifted right by 11111011100010011100= 506,012, discarding the low bit

These bits as a double5.00006291 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,012,031+7

Previous prime1,012,009−15

Distance to nearest prime7

Nearest square below1,010,025

Nearest square above1,012,036

Powers & multiples

1,012,024 to the power 21,024,192,576,576

1,012,024 to the power 31,036,507,468,116,749,824

1,012,024 to the power 41,048,970,433,913,385,623,883,776

1,012,024 to the power 51,061,583,254,410,760,172,625,354,522,624

First ten multiples1,012,024, 2,024,048, 3,036,072, 4,048,096, 5,060,120, 6,072,144, 7,084,168, 8,096,192, 9,108,216, 10,120,240

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 4

Divisible by 6No, remainder 4

Divisible by 7No, remainder 6

Divisible by 8Yes

Divisible by 9No, remainder 1

Divisible by 10No, remainder 4

Divisible by 11No, remainder 2

Divisible by 12No, remainder 4

Divisible by 100No, remainder 24

Collatz (3n + 1) trajectory

Steps to reach 1196the total stopping time

Highest value reached1,012,024

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

First steps1,012,024 → 506,012 → 253,006 → 126,503 → 379,510 → 189,755 → 569,266 → 284,633 → 853,900 → 426,950 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage101,202,400%

1,012,024% as a decimal10,120.24

1,012,024% of 1001,012,024

1,012,024% of 1,00010,120,240

As a fraction of 1001,012,024/100

Read another way

As seconds11 days, 17 hours and 7 minutes

As bytes988.305 KiB

As a 24-bit colour#0F7138

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.