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113,208

113,208 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.).

113,208 (one hundred thirteen thousand two hundred eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 53 × 89. Its proper divisors sum to 178,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA38.

Abundant Number Happy Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
802,311
Recamán's sequence
a(246,160) = 113,208
Square (n²)
12,816,051,264
Cube (n³)
1,450,879,531,494,912
Divisor count
32
σ(n) — sum of divisors
291,600
φ(n) — Euler's totient
36,608
Sum of prime factors
151

Primality

Prime factorization: 2 3 × 3 × 53 × 89

Nearest primes: 113,189 (−19) · 113,209 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 53 · 89 · 106 · 159 · 178 · 212 · 267 · 318 · 356 · 424 · 534 · 636 · 712 · 1068 · 1272 · 2136 · 4717 · 9434 · 14151 · 18868 · 28302 · 37736 · 56604 (half) · 113208
Aliquot sum (sum of proper divisors): 178,392
Factor pairs (a × b = 113,208)
1 × 113208
2 × 56604
3 × 37736
4 × 28302
6 × 18868
8 × 14151
12 × 9434
24 × 4717
53 × 2136
89 × 1272
106 × 1068
159 × 712
178 × 636
212 × 534
267 × 424
318 × 356
First multiples
113,208 · 226,416 (double) · 339,624 · 452,832 · 566,040 · 679,248 · 792,456 · 905,664 · 1,018,872 · 1,132,080

Sums & aliquot sequence

As consecutive integers: 37,735 + 37,736 + 37,737 7,068 + 7,069 + … + 7,083 2,335 + 2,336 + … + 2,382 2,110 + 2,111 + … + 2,162
Aliquot sequence: 113,208 178,392 267,648 503,472 875,904 1,451,736 3,386,664 6,021,336 9,032,064 15,562,176 31,498,944 51,842,520 131,632,200 391,429,560 831,072,840 1,853,936,760 4,229,422,440 — unresolved within range

Continued fraction of √n

√113,208 = [336; (2, 6, 2, 3, 1, 1, 13, 1, 3, 13, 2, 11, 3, 11, 2, 13, 3, 1, 13, 1, 1, 3, 2, 6, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand two hundred eight
Ordinal
113208th
Binary
11011101000111000
Octal
335070
Hexadecimal
0x1BA38
Base64
Abo4
One's complement
4,294,854,087 (32-bit)
Scientific notation
1.13208 × 10⁵
As a duration
113,208 s = 1 day, 7 hours, 26 minutes, 48 seconds
In other bases
ternary (3) 12202021220
quaternary (4) 123220320
quinary (5) 12110313
senary (6) 2232040
septenary (7) 651024
nonary (9) 182256
undecimal (11) 78067
duodecimal (12) 55620
tridecimal (13) 3c6b4
tetradecimal (14) 2d384
pentadecimal (15) 23823

As an angle

113,208° = 314 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγσηʹ
Mayan (base 20)
𝋮·𝋣·𝋠·𝋨
Chinese
一十一萬三千二百零八
Chinese (financial)
壹拾壹萬參仟貳佰零捌
In other modern scripts
Eastern Arabic ١١٣٢٠٨ Devanagari ११३२०८ Bengali ১১৩২০৮ Tamil ௧௧௩௨௦௮ Thai ๑๑๓๒๐๘ Tibetan ༡༡༣༢༠༨ Khmer ១១៣២០៨ Lao ໑໑໓໒໐໘ Burmese ၁၁၃၂၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113208, here are decompositions:

  • 19 + 113189 = 113208
  • 31 + 113177 = 113208
  • 37 + 113171 = 113208
  • 41 + 113167 = 113208
  • 47 + 113161 = 113208
  • 59 + 113149 = 113208
  • 61 + 113147 = 113208
  • 97 + 113111 = 113208

Showing the first eight; more decompositions exist.

Hex color
#01BA38
RGB(1, 186, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.56.

Address
0.1.186.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.56

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 113,208 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 113208 first appears in π at position 23,115 of the decimal expansion (the 23,115ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.