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113,708

113,708 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.).

113,708 (one hundred thirteen thousand seven hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 31 × 131. Its proper divisors sum to 122,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC2C.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
807,311
Recamán's sequence
a(56,207) = 113,708
Square (n²)
12,929,509,264
Cube (n³)
1,470,188,639,390,912
Divisor count
24
σ(n) — sum of divisors
236,544
φ(n) — Euler's totient
46,800
Sum of prime factors
173

Primality

Prime factorization: 2 2 × 7 × 31 × 131

Nearest primes: 113,683 (−25) · 113,717 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 31 · 62 · 124 · 131 · 217 · 262 · 434 · 524 · 868 · 917 · 1834 · 3668 · 4061 · 8122 · 16244 · 28427 · 56854 (half) · 113708
Aliquot sum (sum of proper divisors): 122,836
Factor pairs (a × b = 113,708)
1 × 113708
2 × 56854
4 × 28427
7 × 16244
14 × 8122
28 × 4061
31 × 3668
62 × 1834
124 × 917
131 × 868
217 × 524
262 × 434
First multiples
113,708 · 227,416 (double) · 341,124 · 454,832 · 568,540 · 682,248 · 795,956 · 909,664 · 1,023,372 · 1,137,080

Sums & aliquot sequence

As consecutive integers: 16,241 + 16,242 + … + 16,247 14,210 + 14,211 + … + 14,217 3,653 + 3,654 + … + 3,683 2,003 + 2,004 + … + 2,058
Aliquot sequence: 113,708 122,836 131,180 183,988 184,044 317,100 738,388 738,444 1,277,556 2,195,340 4,831,092 9,874,508 9,874,564 10,149,244 10,149,300 27,660,780 71,667,540 — unresolved within range

Continued fraction of √n

√113,708 = [337; (4, 1, 5, 1, 2, 5, 1, 5, 7, 1, 20, 1, 7, 5, 1, 5, 2, 1, 5, 1, 4, 674)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand seven hundred eight
Ordinal
113708th
Binary
11011110000101100
Octal
336054
Hexadecimal
0x1BC2C
Base64
Abws
One's complement
4,294,853,587 (32-bit)
Scientific notation
1.13708 × 10⁵
As a duration
113,708 s = 1 day, 7 hours, 35 minutes, 8 seconds
In other bases
ternary (3) 12202222102
quaternary (4) 123300230
quinary (5) 12114313
senary (6) 2234232
septenary (7) 652340
nonary (9) 182872
undecimal (11) 78481
duodecimal (12) 55978
tridecimal (13) 3c9aa
tetradecimal (14) 2d620
pentadecimal (15) 23a58

As an angle

113,708° = 315 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγψηʹ
Mayan (base 20)
𝋮·𝋤·𝋥·𝋨
Chinese
一十一萬三千七百零八
Chinese (financial)
壹拾壹萬參仟柒佰零捌
In other modern scripts
Eastern Arabic ١١٣٧٠٨ Devanagari ११३७०८ Bengali ১১৩৭০৮ Tamil ௧௧௩௭௦௮ Thai ๑๑๓๗๐๘ Tibetan ༡༡༣༧༠༨ Khmer ១១៣៧០៨ Lao ໑໑໓໗໐໘ Burmese ၁၁၃၇၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113708, here are decompositions:

  • 61 + 113647 = 113708
  • 151 + 113557 = 113708
  • 211 + 113497 = 113708
  • 241 + 113467 = 113708
  • 271 + 113437 = 113708
  • 337 + 113371 = 113708
  • 349 + 113359 = 113708
  • 367 + 113341 = 113708

Showing the first eight; more decompositions exist.

Unicode codepoint
𛰬
Duployan Letter N M S
U+1BC2C
Other letter (Lo)

UTF-8 encoding: F0 9B B0 AC (4 bytes).

Hex color
#01BC2C
RGB(1, 188, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.44.

Address
0.1.188.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.44

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 113,708 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 113708 first appears in π at position 920,587 of the decimal expansion (the 920,587ordinal-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.