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117,708

117,708 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.).

117,708 (one hundred seventeen thousand seven hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 577. Its proper divisors sum to 173,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CBCC.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
807,711
Square (n²)
13,855,173,264
Cube (n³)
1,630,864,734,558,912
Divisor count
24
σ(n) — sum of divisors
291,312
φ(n) — Euler's totient
36,864
Sum of prime factors
601

Primality

Prime factorization: 2 2 × 3 × 17 × 577

Nearest primes: 117,703 (−5) · 117,709 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 577 · 1154 · 1731 · 2308 · 3462 · 6924 · 9809 · 19618 · 29427 · 39236 · 58854 (half) · 117708
Aliquot sum (sum of proper divisors): 173,604
Factor pairs (a × b = 117,708)
1 × 117708
2 × 58854
3 × 39236
4 × 29427
6 × 19618
12 × 9809
17 × 6924
34 × 3462
51 × 2308
68 × 1731
102 × 1154
204 × 577
First multiples
117,708 · 235,416 (double) · 353,124 · 470,832 · 588,540 · 706,248 · 823,956 · 941,664 · 1,059,372 · 1,177,080

Sums & aliquot sequence

As consecutive integers: 39,235 + 39,236 + 39,237 14,710 + 14,711 + … + 14,717 6,916 + 6,917 + … + 6,932 4,893 + 4,894 + … + 4,916
Aliquot sequence: 117,708 173,604 286,044 451,308 790,548 1,277,868 1,742,100 3,299,244 4,991,556 6,655,436 5,189,404 4,890,596 3,692,104 3,847,736 3,366,784 3,579,416 3,132,004 — unresolved within range

Continued fraction of √n

√117,708 = [343; (11, 1, 1, 1, 2, 3, 1, 170, 1, 3, 2, 1, 1, 1, 11, 686)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand seven hundred eight
Ordinal
117708th
Binary
11100101111001100
Octal
345714
Hexadecimal
0x1CBCC
Base64
AcvM
One's complement
4,294,849,587 (32-bit)
Scientific notation
1.17708 × 10⁵
As a duration
117,708 s = 1 day, 8 hours, 41 minutes, 48 seconds
In other bases
ternary (3) 12222110120
quaternary (4) 130233030
quinary (5) 12231313
senary (6) 2304540
septenary (7) 1000113
nonary (9) 188416
undecimal (11) 80488
duodecimal (12) 58150
tridecimal (13) 41766
tetradecimal (14) 30c7a
pentadecimal (15) 24d23

As an angle

117,708° = 326 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζψηʹ
Mayan (base 20)
𝋮·𝋮·𝋥·𝋨
Chinese
一十一萬七千七百零八
Chinese (financial)
壹拾壹萬柒仟柒佰零捌
In other modern scripts
Eastern Arabic ١١٧٧٠٨ Devanagari ११७७०८ Bengali ১১৭৭০৮ Tamil ௧௧௭௭௦௮ Thai ๑๑๗๗๐๘ Tibetan ༡༡༧༧༠༨ Khmer ១១៧៧០៨ Lao ໑໑໗໗໐໘ Burmese ၁၁၇၇၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117708, here are decompositions:

  • 5 + 117703 = 117708
  • 7 + 117701 = 117708
  • 29 + 117679 = 117708
  • 37 + 117671 = 117708
  • 89 + 117619 = 117708
  • 131 + 117577 = 117708
  • 137 + 117571 = 117708
  • 167 + 117541 = 117708

Showing the first eight; more decompositions exist.

Hex color
#01CBCC
RGB(1, 203, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.204.

Address
0.1.203.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.204

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 117,708 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 117708 first appears in π at position 340,190 of the decimal expansion (the 340,190ordinal-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°.