Recognised as Number

1,301,404

Positive
Even
Composite
7 digits

1,301,404 is an even 7-digit integer and a composite number. It has 24 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,301,404

Digit count7

Digit sum13

Digit product0zero, because one of the digits is zero

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

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 13 × 29 × 863

Distinct prime factors42, 13, 29, 863

Number of divisors24

Sum of divisors σ(n)2,540,160

Aliquot sum1,238,756sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)579,264integers below n that share no factor with it

Carmichael function λ(n)36,204the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 579,264

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 863, 1,508, 1,726, 3,452, 11,219, 22,438, 25,027, 44,876, 50,054, 100,108, 325,351, 650,702, 1,301,40424 in total

Arithmetic

Previous number1,301,403

Next number1,301,405

Double2,602,808

Half650,702

Square1,693,652,371,216

Cube2,204,125,970,509,987,264

Square root1,140.790953681≈irrational, shown to 9 decimal places

Cube root109.178564314≈

Negation-1,301,404

Reciprocal7.68400896 × 10^-7≈

Representations

Decimal1,301,404

Binary10011110110111001110021 bits

Octal4755634

Hexadecimal13DB9C

Base 36RW64

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

In wordsone million, three hundred and one thousand, four hundred and four

Ordinalone million, three hundred and one thousand, four hundred and fourth

Scientific notation1.301404 × 10^6

Engineering notation1.301404 × 10^6

In other bases

Ternary2110010012011base 3; the most digit-efficient integer base after e: 13 digits

Quinary313121104base 5; one hand: 9 digits

Septenary14030116base 7: 8 digits

Nonary2403164base 9; each digit is two ternary digits: 7 digits

Duodecimal529164base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal82da4base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:1:30:4base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T1100101TT011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101000010110011101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000100111101101110011100

Bit length21 bitsto write the magnitude

Set bits13the population count, or Hamming weight

Zero bits8within that length

Bit parityodd13 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

Bytes313 db 9c

Gray code110100011011001010010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000100111101101110011100

64-bit0000000000000000000000000000000000000000000100111101101110011100

One's complement11111111111011000010010001100011at 32 bits, every bit flipped

Bits reversed00111001110110111100100000000000at 32 bits

Rotated left by 100000000001001111011011100111000at 32 bits, wrapping

Shifted left by 11001111011011100111000= 2,602,808, no wrap

Shifted right by 110011110110111001110= 650,702, discarding the low bit

These bits as a double6.42979008 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,301,413+9

Previous prime1,301,393−11

Distance to nearest prime9

Nearest square below1,299,600

Nearest square above1,301,881

Powers & multiples

1,301,404 to the power 21,693,652,371,216

1,301,404 to the power 32,204,125,970,509,987,264

1,301,404 to the power 42,868,458,354,525,579,465,318,656

1,301,404 to the power 53,733,023,176,413,007,218,483,560,193,024

First ten multiples1,301,404, 2,602,808, 3,904,212, 5,205,616, 6,507,020, 7,808,424, 9,109,828, 10,411,232, 11,712,636, 13,014,040

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 4

Divisible by 6No, remainder 4

Divisible by 7No, remainder 6

Divisible by 8No, remainder 4

Divisible by 9No, remainder 4

Divisible by 10No, remainder 4

Divisible by 11No, remainder 5

Divisible by 12No, remainder 4

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 1129the total stopping time

Highest value reached35,617,48027× the starting value

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

First steps1,301,404 → 650,702 → 325,351 → 976,054 → 488,027 → 1,464,082 → 732,041 → 2,196,124 → 1,098,062 → 549,031 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage130,140,400%

1,301,404% as a decimal13,014.04

1,301,404% of 1001,301,404

1,301,404% of 1,00013,014,040

As a fraction of 1001,301,404/100

Read another way

As seconds15 days, 1 hour and 30 minutes

As bytes1.241 MiB

As a 24-bit colour#13DB9C

Keep nerding

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