Recognised as Number

1,322,332

Positive
Even
Composite
7 digits

1,322,332 is an even 7-digit integer and a composite number. It has 24 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,322,332

Digit count7

Digit sum16

Digit product216

Multiplicative persistence3times 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 factorisation2^2 × 11 × 41 × 733

Distinct prime factors42, 11, 41, 733

Number of divisors24

Sum of divisors σ(n)2,589,552

Aliquot sum1,267,220sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)585,600integers below n that share no factor with it

Carmichael function λ(n)7,320the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 585,600

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 733, 902, 1,466, 1,804, 2,932, 8,063, 16,126, 30,053, 32,252, 60,106, 120,212, 330,583, 661,166, 1,322,33224 in total

Arithmetic

Previous number1,322,331

Next number1,322,333

Double2,644,664

Half661,166

Square1,748,561,918,224

Cube2,312,179,378,448,978,368

Square root1,149.926954202≈irrational, shown to 9 decimal places

Cube root109.760691877≈

Negation-1,322,332

Reciprocal7.56239734 × 10^-7≈

Representations

Decimal1,322,332

Binary10100001011010101110021 bits

Octal5026534

Hexadecimal142D5C

Base 36SCBG

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

In wordsone million, three hundred and twenty-two thousand, three hundred and thirty-two

Ordinalone million, three hundred and twenty-two thousand, three hundred and thirty-second

Scientific notation1.322332 × 10^6

Engineering notation1.322332 × 10^6

In other bases

Ternary2111011220021base 3; the most digit-efficient integer base after e: 13 digits

Quinary314303312base 5; one hand: 9 digits

Septenary14145124base 7: 8 digits

Nonary2434807base 9; each digit is two ternary digits: 7 digits

Duodecimal5392a4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal855gcbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:7:18:52base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T1111TT0T01T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101000111001010101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101000010110101011100

Bit length21 bitsto write the magnitude

Set bits10the population count, or Hamming weight

Zero bits11within that length

Bit parityeven10 set bits, so even; not the same as the number itself being even

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 22 trailing zeros

Power of twoNo

Bytes314 2d 5c

Gray code111100011101111110010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101000010110101011100

64-bit0000000000000000000000000000000000000000000101000010110101011100

One's complement11111111111010111101001010100011at 32 bits, every bit flipped

Bits reversed00111010101101000010100000000000at 32 bits

Rotated left by 100000000001010000101101010111000at 32 bits, wrapping

Shifted left by 11010000101101010111000= 2,644,664, no wrap

Shifted right by 110100001011010101110= 661,166, discarding the low bit

These bits as a double6.53318814 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,322,333+1

Previous prime1,322,329−3

Distance to nearest prime1

Nearest square below1,320,201

Nearest square above1,322,500

Powers & multiples

1,322,332 to the power 21,748,561,918,224

1,322,332 to the power 32,312,179,378,448,978,368

1,322,332 to the power 43,057,468,781,863,194,463,314,176

1,322,332 to the power 54,042,988,809,258,721,661,063,160,978,432

First ten multiples1,322,332, 2,644,664, 3,966,996, 5,289,328, 6,611,660, 7,933,992, 9,256,324, 10,578,656, 11,900,988, 13,223,320

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 7No, remainder 4

Divisible by 8No, remainder 4

Divisible by 9No, remainder 7

Divisible by 10No, remainder 2

Divisible by 11Yes

Divisible by 12No, remainder 4

Divisible by 100No, remainder 32

Collatz (3n + 1) trajectory

Steps to reach 1155the total stopping time

Highest value reached2,231,4401× the starting value

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

First steps1,322,332 → 661,166 → 330,583 → 991,750 → 495,875 → 1,487,626 → 743,813 → 2,231,440 → 1,115,720 → 557,860 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage132,233,200%

1,322,332% as a decimal13,223.32

1,322,332% of 1001,322,332

1,322,332% of 1,00013,223,320

As a fraction of 1001,322,332/100

Read another way

As seconds15 days, 7 hours and 18 minutes

As bytes1.261 MiB

As a 24-bit colour#142D5C

Keep nerding

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