Recognised as Number

1,352,004

Positive
Even
Composite
7 digits

1,352,004 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 value1,352,004

Digit count7

Digit sum15

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 × 61 × 1,847

Distinct prime factors42, 3, 61, 1,847

Number of divisors24

Sum of divisors σ(n)3,208,128

Aliquot sum1,856,124sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)443,040integers below n that share no factor with it

Carmichael function λ(n)55,380the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 443,040

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732, 1,847, 3,694, 5,541, 7,388, 11,082, 22,164, 112,667, 225,334, 338,001, 450,668, 676,002, 1,352,00424 in total

Arithmetic

Previous number1,352,003

Next number1,352,005

Double2,704,008

Half676,002

Square1,827,914,816,016

Cube2,471,348,142,912,896,064

Square root1,162.757068351≈irrational, shown to 9 decimal places

Cube root110.575605322≈

Negation-1,352,004

Reciprocal7.39642782 × 10^-7≈

Representations

Decimal1,352,004

Binary10100101000010100010021 bits

Octal5120504

Hexadecimal14A144

Base 36SZ7O

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

In wordsone million, three hundred and fifty-two thousand and four

Ordinalone million, three hundred and fifty-two thousand and fourth

Scientific notation1.352004 × 10^6

Engineering notation1.352004 × 10^6

In other bases

Ternary2112200121020base 3; the most digit-efficient integer base after e: 13 digits

Quinary321231004base 5; one hand: 9 digits

Septenary14330463base 7: 8 digits

Nonary2480536base 9; each digit is two ternary digits: 7 digits

Duodecimal5524b0base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal89004base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:15:33:24base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10TT0T01TT11T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101011110000101000100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101001010000101000100

Bit length21 bitsto write the magnitude

Set bits7the population count, or Hamming weight

Zero bits14within that length

Bit parityodd7 set bits, so odd; 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 a1 44

Gray code111101111000111100110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101001010000101000100

64-bit0000000000000000000000000000000000000000000101001010000101000100

One's complement11111111111010110101111010111011at 32 bits, every bit flipped

Bits reversed00100010100001010010100000000000at 32 bits

Rotated left by 100000000001010010100001010001000at 32 bits, wrapping

Shifted left by 11010010100001010001000= 2,704,008, no wrap

Shifted right by 110100101000010100010= 676,002, discarding the low bit

These bits as a double6.67978729 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,352,069+65

Previous prime1,351,997−7

Distance to nearest prime7

Nearest square below1,350,244

Nearest square above1,352,569

Powers & multiples

1,352,004 to the power 21,827,914,816,016

1,352,004 to the power 32,471,348,142,912,896,064

1,352,004 to the power 43,341,272,574,610,807,130,112,256

1,352,004 to the power 54,517,413,885,964,109,683,140,290,561,024

First ten multiples1,352,004, 2,704,008, 4,056,012, 5,408,016, 6,760,020, 8,112,024, 9,464,028, 10,816,032, 12,168,036, 13,520,040

Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6Yes

Divisible by 7No, remainder 3

Divisible by 8No, remainder 4

Divisible by 9No, remainder 6

Divisible by 10No, remainder 4

Divisible by 11No, remainder 5

Divisible by 12Yes

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 1292the total stopping time

Highest value reached9,635,9207× the starting value

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

First steps1,352,004 → 676,002 → 338,001 → 1,014,004 → 507,002 → 253,501 → 760,504 → 380,252 → 190,126 → 95,063 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage135,200,400%

1,352,004% as a decimal13,520.04

1,352,004% of 1001,352,004

1,352,004% of 1,00013,520,040

As a fraction of 1001,352,004/100

Read another way

As seconds15 days, 15 hours and 33 minutes

As bytes1.289 MiB

As a 24-bit colour#14A144

Keep nerding

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