Live analysis

104,004

104,004 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 Recamán's Sequence

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digital root: 9
Palindrome: No
Reversed: 400,401
Recamán's sequence: a(94,095) = 104,004
Divisor count: 36
σ(n) — sum of divisors: 275,184

Primality

Prime factorization: 2 ² × 3 ⁵ × 107

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 107 · 108 · 162 · 214 · 243 · 321 · 324 · 428 · 486 · 642 · 963 · 972 · 1284 · 1926 · 2889 · 3852 · 5778 · 8667 · 11556 · 17334 · 26001 · 34668 · 52002 · 104004

Aliquot sum (sum of proper divisors): 171,180

Factor pairs (a × b = 104,004)

1 × 104004

2 × 52002

3 × 34668

4 × 26001

6 × 17334

9 × 11556

12 × 8667

18 × 5778

27 × 3852

36 × 2889

54 × 1926

81 × 1284

107 × 972

108 × 963

162 × 642

214 × 486

243 × 428

321 × 324

First multiples

104,004 · 208,008 · 312,012 · 416,016 · 520,020 · 624,024 · 728,028 · 832,032 · 936,036 · 1,040,040

Representations

In words: one hundred four thousand four
Ordinal: 104004th
Binary: 11001011001000100
Octal: 313104
Hexadecimal: 0x19644
Base64: AZZE

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104004, here are decompositions:

7 + 103997 = 104004
11 + 103993 = 104004
13 + 103991 = 104004
23 + 103981 = 104004
37 + 103967 = 104004
41 + 103963 = 104004
53 + 103951 = 104004
101 + 103903 = 104004

Showing the first eight; more decompositions exist.

Hex color

#019644

RGB(1, 150, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.68.

Address: 0.1.150.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.150.68

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 104,004 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US104,004 on Google Patents ↗ Look up on USPTO ↗