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113,804

113,804 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.).

113,804 (one hundred thirteen thousand eight hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 23 × 1,237. Written other ways, in hexadecimal, 0x1BC8C.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
408,311
Recamán's sequence
a(56,399) = 113,804
Square (n²)
12,951,350,416
Cube (n³)
1,473,915,482,742,464
Divisor count
12
σ(n) — sum of divisors
207,984
φ(n) — Euler's totient
54,384
Sum of prime factors
1,264

Primality

Prime factorization: 2 2 × 23 × 1237

Nearest primes: 113,797 (−7) · 113,809 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 23 · 46 · 92 · 1237 · 2474 · 4948 · 28451 · 56902 (half) · 113804
Aliquot sum (sum of proper divisors): 94,180
Factor pairs (a × b = 113,804)
1 × 113804
2 × 56902
4 × 28451
23 × 4948
46 × 2474
92 × 1237
First multiples
113,804 · 227,608 (double) · 341,412 · 455,216 · 569,020 · 682,824 · 796,628 · 910,432 · 1,024,236 · 1,138,040

Sums & aliquot sequence

As consecutive integers: 14,222 + 14,223 + … + 14,229 4,937 + 4,938 + … + 4,959 527 + 528 + … + 710
Aliquot sequence: 113,804 94,180 115,988 89,644 69,900 133,212 196,404 297,516 396,716 326,944 355,724 273,100 319,744 319,006 159,506 81,658 40,832 — unresolved within range

Continued fraction of √n

√113,804 = [337; (2, 1, 6, 1, 2, 674)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand eight hundred four
Ordinal
113804th
Binary
11011110010001100
Octal
336214
Hexadecimal
0x1BC8C
Base64
AbyM
One's complement
4,294,853,491 (32-bit)
Scientific notation
1.13804 × 10⁵
As a duration
113,804 s = 1 day, 7 hours, 36 minutes, 44 seconds
In other bases
ternary (3) 12210002222
quaternary (4) 123302030
quinary (5) 12120204
senary (6) 2234512
septenary (7) 652535
nonary (9) 183088
undecimal (11) 78559
duodecimal (12) 55a38
tridecimal (13) 3ca52
tetradecimal (14) 2d68c
pentadecimal (15) 23abe

As an angle

113,804° = 316 × 360° + 44°
44° ≈ 0.768 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγωδʹ
Mayan (base 20)
𝋮·𝋤·𝋪·𝋤
Chinese
一十一萬三千八百零四
Chinese (financial)
壹拾壹萬參仟捌佰零肆
In other modern scripts
Eastern Arabic ١١٣٨٠٤ Devanagari ११३८०४ Bengali ১১৩৮০৪ Tamil ௧௧௩௮௦௪ Thai ๑๑๓๘๐๔ Tibetan ༡༡༣༨༠༤ Khmer ១១៣៨០៤ Lao ໑໑໓໘໐໔ Burmese ၁၁၃၈၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113804, here are decompositions:

  • 7 + 113797 = 113804
  • 43 + 113761 = 113804
  • 73 + 113731 = 113804
  • 157 + 113647 = 113804
  • 181 + 113623 = 113804
  • 307 + 113497 = 113804
  • 337 + 113467 = 113804
  • 367 + 113437 = 113804

Showing the first eight; more decompositions exist.

Hex color
#01BC8C
RGB(1, 188, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.140.

Address
0.1.188.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.140

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 113,804 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 113804 first appears in π at position 127,460 of the decimal expansion (the 127,460ordinal-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

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