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104,104

104,104 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.).

104,104 (one hundred four thousand one hundred four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 7 × 11 × 13². Its proper divisors sum to 159,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x196A8.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
401,401
Recamán's sequence
a(93,895) = 104,104
Square (n²)
10,837,642,816
Cube (n³)
1,128,241,967,716,864
Divisor count
48
σ(n) — sum of divisors
263,520
φ(n) — Euler's totient
37,440
Sum of prime factors
50

Primality

Prime factorization: 2 3 × 7 × 11 × 13 2

Nearest primes: 104,089 (−15) · 104,107 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 11 · 13 · 14 · 22 · 26 · 28 · 44 · 52 · 56 · 77 · 88 · 91 · 104 · 143 · 154 · 169 · 182 · 286 · 308 · 338 · 364 · 572 · 616 · 676 · 728 · 1001 · 1144 · 1183 · 1352 · 1859 · 2002 · 2366 · 3718 · 4004 · 4732 · 7436 · 8008 · 9464 · 13013 · 14872 · 26026 · 52052 (half) · 104104
Aliquot sum (sum of proper divisors): 159,416
Factor pairs (a × b = 104,104)
1 × 104104
2 × 52052
4 × 26026
7 × 14872
8 × 13013
11 × 9464
13 × 8008
14 × 7436
22 × 4732
26 × 4004
28 × 3718
44 × 2366
52 × 2002
56 × 1859
77 × 1352
88 × 1183
91 × 1144
104 × 1001
143 × 728
154 × 676
169 × 616
182 × 572
286 × 364
308 × 338
First multiples
104,104 · 208,208 (double) · 312,312 · 416,416 · 520,520 · 624,624 · 728,728 · 832,832 · 936,936 · 1,041,040

Sums & aliquot sequence

As consecutive integers: 14,869 + 14,870 + … + 14,875 9,459 + 9,460 + … + 9,469 8,002 + 8,003 + … + 8,014 6,499 + 6,500 + … + 6,514
Aliquot sequence: 104,104 159,416 139,504 130,816 171,696 351,336 527,064 790,656 1,412,544 2,862,784 2,961,944 3,129,256 3,189,644 2,686,156 2,570,564 1,946,536 1,941,464 — unresolved within range

Continued fraction of √n

√104,104 = [322; (1, 1, 1, 6, 1, 1, 1, 644)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand one hundred four
Ordinal
104104th
Binary
11001011010101000
Octal
313250
Hexadecimal
0x196A8
Base64
AZao
One's complement
4,294,863,191 (32-bit)
Scientific notation
1.04104 × 10⁵
As a duration
104,104 s = 1 day, 4 hours, 55 minutes, 4 seconds
In other bases
ternary (3) 12021210201
quaternary (4) 121122220
quinary (5) 11312404
senary (6) 2121544
septenary (7) 612340
nonary (9) 167721
undecimal (11) 71240
duodecimal (12) 502b4
tridecimal (13) 38500
tetradecimal (14) 29d20
pentadecimal (15) 20ca4

As an angle

104,104° = 289 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδρδʹ
Mayan (base 20)
𝋭·𝋠·𝋥·𝋤
Chinese
一十萬四千一百零四
Chinese (financial)
壹拾萬肆仟壹佰零肆
In other modern scripts
Eastern Arabic ١٠٤١٠٤ Devanagari १०४१०४ Bengali ১০৪১০৪ Tamil ௧௦௪௧௦௪ Thai ๑๐๔๑๐๔ Tibetan ༡༠༤༡༠༤ Khmer ១០៤១០៤ Lao ໑໐໔໑໐໔ Burmese ၁၀၄၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104104, here are decompositions:

  • 17 + 104087 = 104104
  • 71 + 104033 = 104104
  • 83 + 104021 = 104104
  • 101 + 104003 = 104104
  • 107 + 103997 = 104104
  • 113 + 103991 = 104104
  • 137 + 103967 = 104104
  • 191 + 103913 = 104104

Showing the first eight; more decompositions exist.

Hex color
#0196A8
RGB(1, 150, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.168.

Address
0.1.150.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.168

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 104,104 and was likely granted around 1870.

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

Position in π

The digit sequence 104104 first appears in π at position 675,694 of the decimal expansion (the 675,694ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading