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117,132

117,132 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.).

117,132 (one hundred seventeen thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 43 × 227. Its proper divisors sum to 163,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C98C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
42
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
231,711
Square (n²)
13,719,905,424
Cube (n³)
1,607,039,962,123,968
Divisor count
24
σ(n) — sum of divisors
280,896
φ(n) — Euler's totient
37,968
Sum of prime factors
277

Primality

Prime factorization: 2 2 × 3 × 43 × 227

Nearest primes: 117,127 (−5) · 117,133 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 43 · 86 · 129 · 172 · 227 · 258 · 454 · 516 · 681 · 908 · 1362 · 2724 · 9761 · 19522 · 29283 · 39044 · 58566 (half) · 117132
Aliquot sum (sum of proper divisors): 163,764
Factor pairs (a × b = 117,132)
1 × 117132
2 × 58566
3 × 39044
4 × 29283
6 × 19522
12 × 9761
43 × 2724
86 × 1362
129 × 908
172 × 681
227 × 516
258 × 454
First multiples
117,132 · 234,264 (double) · 351,396 · 468,528 · 585,660 · 702,792 · 819,924 · 937,056 · 1,054,188 · 1,171,320

Sums & aliquot sequence

As consecutive integers: 39,043 + 39,044 + 39,045 14,638 + 14,639 + … + 14,645 4,869 + 4,870 + … + 4,892 2,703 + 2,704 + … + 2,745
Aliquot sequence: 117,132 163,764 250,286 141,538 70,772 62,704 58,816 58,024 50,786 26,734 13,370 14,278 9,662 4,834 2,420 3,166 1,586 — unresolved within range

Continued fraction of √n

√117,132 = [342; (4, 13, 1, 2, 1, 1, 3, 1, 1, 170, 1, 1, 3, 1, 1, 2, 1, 13, 4, 684)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand one hundred thirty-two
Ordinal
117132nd
Binary
11100100110001100
Octal
344614
Hexadecimal
0x1C98C
Base64
AcmM
One's complement
4,294,850,163 (32-bit)
Scientific notation
1.17132 × 10⁵
As a duration
117,132 s = 1 day, 8 hours, 32 minutes, 12 seconds
In other bases
ternary (3) 12221200020
quaternary (4) 130212030
quinary (5) 12222012
senary (6) 2302140
septenary (7) 665331
nonary (9) 187606
undecimal (11) 80004
duodecimal (12) 57950
tridecimal (13) 41412
tetradecimal (14) 30988
pentadecimal (15) 24a8c

As an angle

117,132° = 325 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριζρλβʹ
Mayan (base 20)
𝋮·𝋬·𝋰·𝋬
Chinese
一十一萬七千一百三十二
Chinese (financial)
壹拾壹萬柒仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١١٧١٣٢ Devanagari ११७१३२ Bengali ১১৭১৩২ Tamil ௧௧௭௧௩௨ Thai ๑๑๗๑๓๒ Tibetan ༡༡༧༡༣༢ Khmer ១១៧១៣២ Lao ໑໑໗໑໓໒ Burmese ၁၁၇၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117132, here are decompositions:

  • 5 + 117127 = 117132
  • 13 + 117119 = 117132
  • 23 + 117109 = 117132
  • 31 + 117101 = 117132
  • 61 + 117071 = 117132
  • 79 + 117053 = 117132
  • 89 + 117043 = 117132
  • 109 + 117023 = 117132

Showing the first eight; more decompositions exist.

Hex color
#01C98C
RGB(1, 201, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.140.

Address
0.1.201.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.140

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 117,132 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 117132 first appears in π at position 995,242 of the decimal expansion (the 995,242ordinal-suffix:nd 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°.