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117,188

117,188 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.).

117,188 (one hundred seventeen thousand one hundred eighty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 29,297. Written other ways, in hexadecimal, 0x1C9C4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
448
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
881,711
Square (n²)
13,733,027,344
Cube (n³)
1,609,346,008,388,672
Divisor count
6
σ(n) — sum of divisors
205,086
φ(n) — Euler's totient
58,592
Sum of prime factors
29,301

Primality

Prime factorization: 2 2 × 29297

Nearest primes: 117,167 (−21) · 117,191 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 29297 · 58594 (half) · 117188
Aliquot sum (sum of proper divisors): 87,898
Factor pairs (a × b = 117,188)
1 × 117188
2 × 58594
4 × 29297
First multiples
117,188 · 234,376 (double) · 351,564 · 468,752 · 585,940 · 703,128 · 820,316 · 937,504 · 1,054,692 · 1,171,880

Sums & aliquot sequence

As a sum of two squares: 98² + 328²
As consecutive integers: 14,645 + 14,646 + … + 14,652
Aliquot sequence: 117,188 87,898 46,022 23,014 12,554 6,280 7,940 8,776 7,694 3,850 5,078 2,542 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√117,188 = [342; (3, 18, 5, 1, 5, 1, 1, 3, 2, 2, 1, 1, 4, 2, 1, 14, 1, 6, 1, 3, 9, 2, 1, 1, …)]

Representations

In words
one hundred seventeen thousand one hundred eighty-eight
Ordinal
117188th
Binary
11100100111000100
Octal
344704
Hexadecimal
0x1C9C4
Base64
AcnE
One's complement
4,294,850,107 (32-bit)
Scientific notation
1.17188 × 10⁵
As a duration
117,188 s = 1 day, 8 hours, 33 minutes, 8 seconds
In other bases
ternary (3) 12221202022
quaternary (4) 130213010
quinary (5) 12222223
senary (6) 2302312
septenary (7) 665441
nonary (9) 187668
undecimal (11) 80055
duodecimal (12) 57998
tridecimal (13) 41456
tetradecimal (14) 309c8
pentadecimal (15) 24ac8

As an angle

117,188° = 325 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζρπηʹ
Mayan (base 20)
𝋮·𝋬·𝋳·𝋨
Chinese
一十一萬七千一百八十八
Chinese (financial)
壹拾壹萬柒仟壹佰捌拾捌
In other modern scripts
Eastern Arabic ١١٧١٨٨ Devanagari ११७१८८ Bengali ১১৭১৮৮ Tamil ௧௧௭௧௮௮ Thai ๑๑๗๑๘๘ Tibetan ༡༡༧༡༨༨ Khmer ១១៧១៨៨ Lao ໑໑໗໑໘໘ Burmese ၁၁၇၁၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117188, here are decompositions:

  • 61 + 117127 = 117188
  • 79 + 117109 = 117188
  • 151 + 117037 = 117188
  • 199 + 116989 = 117188
  • 229 + 116959 = 117188
  • 277 + 116911 = 117188
  • 307 + 116881 = 117188
  • 397 + 116791 = 117188

Showing the first eight; more decompositions exist.

Hex color
#01C9C4
RGB(1, 201, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.196.

Address
0.1.201.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.196

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 117,188 and was likely granted around 1871.

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

Related reading

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