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117,008

117,008 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.).

117,008 (one hundred seventeen thousand eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 71 × 103. Written other ways, in hexadecimal, 0x1C910.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
800,711
Square (n²)
13,690,872,064
Cube (n³)
1,601,941,558,464,512
Divisor count
20
σ(n) — sum of divisors
232,128
φ(n) — Euler's totient
57,120
Sum of prime factors
182

Primality

Prime factorization: 2 4 × 71 × 103

Nearest primes: 116,993 (−15) · 117,017 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 71 · 103 · 142 · 206 · 284 · 412 · 568 · 824 · 1136 · 1648 · 7313 · 14626 · 29252 · 58504 (half) · 117008
Aliquot sum (sum of proper divisors): 115,120
Factor pairs (a × b = 117,008)
1 × 117008
2 × 58504
4 × 29252
8 × 14626
16 × 7313
71 × 1648
103 × 1136
142 × 824
206 × 568
284 × 412
First multiples
117,008 · 234,016 (double) · 351,024 · 468,032 · 585,040 · 702,048 · 819,056 · 936,064 · 1,053,072 · 1,170,080

Sums & aliquot sequence

As consecutive integers: 3,641 + 3,642 + … + 3,672 1,613 + 1,614 + … + 1,683 1,085 + 1,086 + … + 1,187
Aliquot sequence: 117,008 115,120 152,720 222,256 224,144 210,166 143,642 71,824 69,443 8,317 1 0 — terminates at zero

Continued fraction of √n

√117,008 = [342; (15, 1, 1, 4, 1, 4, 1, 5, 14, 2, 1, 1, 1, 1, 21, 2, 4, 1, 8, 1, 4, 2, 21, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand eight
Ordinal
117008th
Binary
11100100100010000
Octal
344420
Hexadecimal
0x1C910
Base64
AckQ
One's complement
4,294,850,287 (32-bit)
Scientific notation
1.17008 × 10⁵
As a duration
117,008 s = 1 day, 8 hours, 30 minutes, 8 seconds
In other bases
ternary (3) 12221111122
quaternary (4) 130210100
quinary (5) 12221013
senary (6) 2301412
septenary (7) 665063
nonary (9) 187448
undecimal (11) 7aa01
duodecimal (12) 57868
tridecimal (13) 41348
tetradecimal (14) 308da
pentadecimal (15) 24a08

As an angle

117,008° = 325 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζηʹ
Mayan (base 20)
𝋮·𝋬·𝋪·𝋨
Chinese
一十一萬七千零八
Chinese (financial)
壹拾壹萬柒仟零捌
In other modern scripts
Eastern Arabic ١١٧٠٠٨ Devanagari ११७००८ Bengali ১১৭০০৮ Tamil ௧௧௭௦௦௮ Thai ๑๑๗๐๐๘ Tibetan ༡༡༧༠༠༨ Khmer ១១៧០០៨ Lao ໑໑໗໐໐໘ Burmese ၁၁၇၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117008, here are decompositions:

  • 19 + 116989 = 117008
  • 79 + 116929 = 117008
  • 97 + 116911 = 117008
  • 127 + 116881 = 117008
  • 181 + 116827 = 117008
  • 211 + 116797 = 117008
  • 277 + 116731 = 117008
  • 547 + 116461 = 117008

Showing the first eight; more decompositions exist.

Hex color
#01C910
RGB(1, 201, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.16.

Address
0.1.201.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.16

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 117,008 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 117008 first appears in π at position 530,527 of the decimal expansion (the 530,527ordinal-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.