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117,080

117,080 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.).

117,080 (one hundred seventeen thousand eighty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,927. Its proper divisors sum to 146,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C958.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
80,711
Square (n²)
13,707,726,400
Cube (n³)
1,604,900,606,912,000
Divisor count
16
σ(n) — sum of divisors
263,520
φ(n) — Euler's totient
46,816
Sum of prime factors
2,938

Primality

Prime factorization: 2 3 × 5 × 2927

Nearest primes: 117,071 (−9) · 117,101 (+21)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 2927 · 5854 · 11708 · 14635 · 23416 · 29270 · 58540 (half) · 117080
Aliquot sum (sum of proper divisors): 146,440
Factor pairs (a × b = 117,080)
1 × 117080
2 × 58540
4 × 29270
5 × 23416
8 × 14635
10 × 11708
20 × 5854
40 × 2927
First multiples
117,080 · 234,160 (double) · 351,240 · 468,320 · 585,400 · 702,480 · 819,560 · 936,640 · 1,053,720 · 1,170,800

Sums & aliquot sequence

As consecutive integers: 23,414 + 23,415 + 23,416 + 23,417 + 23,418 7,310 + 7,311 + … + 7,325 1,424 + 1,425 + … + 1,503
Aliquot sequence: 117,080 146,440 230,840 309,160 403,640 504,640 775,520 1,120,528 1,089,152 1,130,368 1,121,792 1,447,984 1,357,516 1,026,516 1,390,668 2,064,924 3,285,876 — unresolved within range

Continued fraction of √n

√117,080 = [342; (5, 1, 8, 1, 4, 7, 2, 16, 4, 2, 8, 4, 1, 1, 1, 1, 33, 1, 1, 1, 1, 4, 8, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand eighty
Ordinal
117080th
Binary
11100100101011000
Octal
344530
Hexadecimal
0x1C958
Base64
AclY
One's complement
4,294,850,215 (32-bit)
Scientific notation
1.1708 × 10⁵
As a duration
117,080 s = 1 day, 8 hours, 31 minutes, 20 seconds
In other bases
ternary (3) 12221121022
quaternary (4) 130211120
quinary (5) 12221310
senary (6) 2302012
septenary (7) 665225
nonary (9) 187538
undecimal (11) 7aa67
duodecimal (12) 57908
tridecimal (13) 413a2
tetradecimal (14) 3094c
pentadecimal (15) 24a55

As an angle

117,080° = 325 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζπʹ
Mayan (base 20)
𝋮·𝋬·𝋮·𝋠
Chinese
一十一萬七千零八十
Chinese (financial)
壹拾壹萬柒仟零捌拾
In other modern scripts
Eastern Arabic ١١٧٠٨٠ Devanagari ११७०८० Bengali ১১৭০৮০ Tamil ௧௧௭௦௮௦ Thai ๑๑๗๐๘๐ Tibetan ༡༡༧༠༨༠ Khmer ១១៧០៨០ Lao ໑໑໗໐໘໐ Burmese ၁၁၇၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117080, here are decompositions:

  • 37 + 117043 = 117080
  • 43 + 117037 = 117080
  • 127 + 116953 = 117080
  • 151 + 116929 = 117080
  • 157 + 116923 = 117080
  • 199 + 116881 = 117080
  • 277 + 116803 = 117080
  • 283 + 116797 = 117080

Showing the first eight; more decompositions exist.

Hex color
#01C958
RGB(1, 201, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.88.

Address
0.1.201.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.88

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 117,080 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.