Live analysis

77,004

77,004 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

Abundant Number Harshad / Niven

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digital root: 9
Palindrome: No
Divisor count: 48
σ(n) — sum of divisors: 215,040

Primality

Prime factorization: 2 ² × 3 ³ × 23 × 31

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 23 · 27 · 31 · 36 · 46 · 54 · 62 · 69 · 92 · 93 · 108 · 124 · 138 · 186 · 207 · 276 · 279 · 372 · 414 · 558 · 621 · 713 · 828 · 837 · 1116 · 1242 · 1426 · 1674 · 2139 · 2484 · 2852 · 3348 · 4278 · 6417 · 8556 · 12834 · 19251 · 25668 · 38502 · 77004

Aliquot sum (sum of proper divisors): 138,036

Factor pairs (a × b = 77,004)

1 × 77004

2 × 38502

3 × 25668

4 × 19251

6 × 12834

9 × 8556

12 × 6417

18 × 4278

23 × 3348

27 × 2852

31 × 2484

36 × 2139

46 × 1674

54 × 1426

62 × 1242

69 × 1116

92 × 837

93 × 828

108 × 713

124 × 621

138 × 558

186 × 414

207 × 372

276 × 279

First multiples

77,004 · 154,008 · 231,012 · 308,016 · 385,020 · 462,024 · 539,028 · 616,032 · 693,036 · 770,040

Representations

In words: seventy-seven thousand four
Ordinal: 77004th
Binary: 10010110011001100
Octal: 226314
Hexadecimal: 12CCC

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 77004, here are decompositions:

13 + 76991 = 77004
41 + 76963 = 77004
43 + 76961 = 77004
61 + 76943 = 77004
97 + 76907 = 77004
131 + 76873 = 77004
157 + 76847 = 77004
167 + 76837 = 77004

Showing the first eight; more decompositions exist.

Hex color

#012CCC

RGB(1, 44, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.44.204.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000077004

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up 000077004 on FedACH ↗ Routing Number Lookup (Wise) ↗