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112,904

112,904 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.).

112,904 (one hundred twelve thousand nine hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 1,283. Its proper divisors sum to 118,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B908.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
409,211
Recamán's sequence
a(52,855) = 112,904
Square (n²)
12,747,313,216
Cube (n³)
1,439,222,651,339,264
Divisor count
16
σ(n) — sum of divisors
231,120
φ(n) — Euler's totient
51,280
Sum of prime factors
1,300

Primality

Prime factorization: 2 3 × 11 × 1283

Nearest primes: 112,901 (−3) · 112,909 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 1283 · 2566 · 5132 · 10264 · 14113 · 28226 · 56452 (half) · 112904
Aliquot sum (sum of proper divisors): 118,216
Factor pairs (a × b = 112,904)
1 × 112904
2 × 56452
4 × 28226
8 × 14113
11 × 10264
22 × 5132
44 × 2566
88 × 1283
First multiples
112,904 · 225,808 (double) · 338,712 · 451,616 · 564,520 · 677,424 · 790,328 · 903,232 · 1,016,136 · 1,129,040

Sums & aliquot sequence

As consecutive integers: 10,259 + 10,260 + … + 10,269 7,049 + 7,050 + … + 7,064 554 + 555 + … + 729
Aliquot sequence: 112,904 118,216 135,224 118,336 122,075 37,885 7,583 1 0 — terminates at zero

Continued fraction of √n

√112,904 = [336; (84, 672)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand nine hundred four
Ordinal
112904th
Binary
11011100100001000
Octal
334410
Hexadecimal
0x1B908
Base64
AbkI
One's complement
4,294,854,391 (32-bit)
Scientific notation
1.12904 × 10⁵
As a duration
112,904 s = 1 day, 7 hours, 21 minutes, 44 seconds
In other bases
ternary (3) 12201212122
quaternary (4) 123210020
quinary (5) 12103104
senary (6) 2230412
septenary (7) 650111
nonary (9) 181778
undecimal (11) 77910
duodecimal (12) 55408
tridecimal (13) 3c50c
tetradecimal (14) 2d208
pentadecimal (15) 236be

As an angle

112,904° = 313 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβϡδʹ
Mayan (base 20)
𝋮·𝋢·𝋥·𝋤
Chinese
一十一萬二千九百零四
Chinese (financial)
壹拾壹萬貳仟玖佰零肆
In other modern scripts
Eastern Arabic ١١٢٩٠٤ Devanagari ११२९०४ Bengali ১১২৯০৪ Tamil ௧௧௨௯௦௪ Thai ๑๑๒๙๐๔ Tibetan ༡༡༢༩༠༤ Khmer ១១២៩០៤ Lao ໑໑໒໙໐໔ Burmese ၁၁၂၉၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112904, here are decompositions:

  • 3 + 112901 = 112904
  • 61 + 112843 = 112904
  • 73 + 112831 = 112904
  • 97 + 112807 = 112904
  • 163 + 112741 = 112904
  • 241 + 112663 = 112904
  • 283 + 112621 = 112904
  • 331 + 112573 = 112904

Showing the first eight; more decompositions exist.

Hex color
#01B908
RGB(1, 185, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.8.

Address
0.1.185.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.8

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 112,904 and was likely granted around 1871.

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

Position in π

The digit sequence 112904 first appears in π at position 209,521 of the decimal expansion (the 209,521ordinal-suffix:st 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.