Recognised as Number

1,000,668

Positive
Even
Composite
7 digits

1,000,668 is an even 7-digit integer and a composite number. It has 12 divisors and a digital root of 3.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,000,668

Digit count7

Digit sum21

Digit product0zero, because one of the digits is zero

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

Digital root3repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3 × 83,389

Distinct prime factors32, 3, 83,389

Number of divisors12

Sum of divisors σ(n)2,334,920

Aliquot sum1,334,252sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)333,552integers below n that share no factor with it

Carmichael function λ(n)83,388the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 333,552

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 12, 83,389, 166,778, 250,167, 333,556, 500,334, 1,000,66812 in total

Arithmetic

Previous number1,000,667

Next number1,000,669

Double2,001,336

Half500,334

Square1,001,336,446,224

Cube1,002,005,338,970,077,632

Square root1,000.333944241≈irrational, shown to 9 decimal places

Cube root100.02226171≈

Negation-1,000,668

Reciprocal9.99332446 × 10^-7≈

Representations

Decimal1,000,668

Binary1111010001001101110020 bits

Octal3642334

HexadecimalF44DC

Base 36LG4C

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

In wordsone million, six hundred and sixty-eight

Ordinalone million, six hundred and sixty-eighth

Scientific notation1.000668 × 10^6

Engineering notation1.000668 × 10^6

In other bases

Ternary1212211122210base 3; the most digit-efficient integer base after e: 13 digits

Quinary224010133base 5; one hand: 9 digits

Septenary11335254base 7: 8 digits

Nonary1784583base 9; each digit is two ternary digits: 7 digits

Duodecimal403110base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal651d8base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal4:37:57:48base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T0T00TTT00T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100110100010100101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011110100010011011100

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 44 dc

Gray code10001110011010110010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011110100010011011100

64-bit0000000000000000000000000000000000000000000011110100010011011100

One's complement11111111111100001011101100100011at 32 bits, every bit flipped

Bits reversed00111011001000101111000000000000at 32 bits

Rotated left by 100000000000111101000100110111000at 32 bits, wrapping

Shifted left by 1111101000100110111000= 2,001,336, no wrap

Shifted right by 11111010001001101110= 500,334, discarding the low bit

These bits as a double4.94395682 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,000,669+1

Previous prime1,000,667−1

Distance to nearest prime1

Nearest square below1,000,000

Nearest square above1,002,001

Powers & multiples

1,000,668 to the power 21,001,336,446,224

1,000,668 to the power 31,002,005,338,970,077,632

1,000,668 to the power 41,002,674,678,536,509,643,858,176

1,000,668 to the power 51,003,344,465,221,772,032,300,273,261,568

First ten multiples1,000,668, 2,001,336, 3,002,004, 4,002,672, 5,003,340, 6,004,008, 7,004,676, 8,005,344, 9,006,012, 10,006,680

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 7No, remainder 4

Divisible by 8No, remainder 4

Divisible by 9No, remainder 3

Divisible by 10No, remainder 8

Divisible by 11No, remainder 9

Divisible by 12Yes

Divisible by 100No, remainder 68

Collatz (3n + 1) trajectory

Steps to reach 1152the total stopping time

Highest value reached1,688,6321× the starting value

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

First steps1,000,668 → 500,334 → 250,167 → 750,502 → 375,251 → 1,125,754 → 562,877 → 1,688,632 → 844,316 → 422,158 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,066,800%

1,000,668% as a decimal10,006.68

1,000,668% of 1001,000,668

1,000,668% of 1,00010,006,680

As a fraction of 1001,000,668/100

Read another way

As seconds11 days, 13 hours and 57 minutes

As bytes977.215 KiB

As a 24-bit colour#0F44DC

Keep nerding

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