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117,992

117,992 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.).

117,992 (one hundred seventeen thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7³ × 43. Its proper divisors sum to 146,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCE8.

Abundant Number Arithmetic Number Odious Number Practical Number Pronic / Oblong Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
1,134
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
299,711
Square (n²)
13,922,112,064
Cube (n³)
1,642,697,846,655,488
Divisor count
32
σ(n) — sum of divisors
264,000
φ(n) — Euler's totient
49,392
Sum of prime factors
70

Primality

Prime factorization: 2 3 × 7 3 × 43

Nearest primes: 117,991 (−1) · 118,033 (+41)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 43 · 49 · 56 · 86 · 98 · 172 · 196 · 301 · 343 · 344 · 392 · 602 · 686 · 1204 · 1372 · 2107 · 2408 · 2744 · 4214 · 8428 · 14749 · 16856 · 29498 · 58996 (half) · 117992
Aliquot sum (sum of proper divisors): 146,008
Factor pairs (a × b = 117,992)
1 × 117992
2 × 58996
4 × 29498
7 × 16856
8 × 14749
14 × 8428
28 × 4214
43 × 2744
49 × 2408
56 × 2107
86 × 1372
98 × 1204
172 × 686
196 × 602
301 × 392
343 × 344
First multiples
117,992 · 235,984 (double) · 353,976 · 471,968 · 589,960 · 707,952 · 825,944 · 943,936 · 1,061,928 · 1,179,920

Sums & aliquot sequence

As a sum of two cubes: 7³ + 49³
As consecutive integers: 16,853 + 16,854 + … + 16,859 7,367 + 7,368 + … + 7,382 2,723 + 2,724 + … + 2,765 2,384 + 2,385 + … + 2,432
Aliquot sequence: 117,992 146,008 127,772 109,108 81,838 54,242 29,434 14,720 22,000 36,032 35,596 32,444 24,340 26,816 26,524 22,476 29,996 — unresolved within range

Continued fraction of √n

√117,992 = [343; (2, 686)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand nine hundred ninety-two
Ordinal
117992nd
Binary
11100110011101000
Octal
346350
Hexadecimal
0x1CCE8
Base64
Aczo
One's complement
4,294,849,303 (32-bit)
Scientific notation
1.17992 × 10⁵
As a duration
117,992 s = 1 day, 8 hours, 46 minutes, 32 seconds
In other bases
ternary (3) 12222212002
quaternary (4) 130303220
quinary (5) 12233432
senary (6) 2310132
septenary (7) 1001000
nonary (9) 188762
undecimal (11) 80716
duodecimal (12) 58348
tridecimal (13) 41924
tetradecimal (14) 31000
pentadecimal (15) 24e62
Palindromic in base 6

As an angle

117,992° = 327 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριζϡϟβʹ
Mayan (base 20)
𝋮·𝋮·𝋳·𝋬
Chinese
一十一萬七千九百九十二
Chinese (financial)
壹拾壹萬柒仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ١١٧٩٩٢ Devanagari ११७९९२ Bengali ১১৭৯৯২ Tamil ௧௧௭௯௯௨ Thai ๑๑๗๙๙๒ Tibetan ༡༡༧༩༩༢ Khmer ១១៧៩៩២ Lao ໑໑໗໙໙໒ Burmese ၁၁၇၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117992, here are decompositions:

  • 3 + 117989 = 117992
  • 13 + 117979 = 117992
  • 19 + 117973 = 117992
  • 103 + 117889 = 117992
  • 109 + 117883 = 117992
  • 151 + 117841 = 117992
  • 181 + 117811 = 117992
  • 229 + 117763 = 117992

Showing the first eight; more decompositions exist.

Unicode codepoint
𜳨
Outlined Latin Capital Letter S
U+1CCE8
Other symbol (So)

UTF-8 encoding: F0 9C B3 A8 (4 bytes).

Hex color
#01CCE8
RGB(1, 204, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.232.

Address
0.1.204.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.232

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 117,992 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 117992 first appears in π at position 231,224 of the decimal expansion (the 231,224ordinal-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.