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117,114

117,114 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.).

117,114 (one hundred seventeen thousand one hundred fourteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 131 × 149. Its proper divisors sum to 120,486, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C97A.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
28
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
411,711
Square (n²)
13,715,688,996
Cube (n³)
1,606,299,201,077,544
Divisor count
16
σ(n) — sum of divisors
237,600
φ(n) — Euler's totient
38,480
Sum of prime factors
285

Primality

Prime factorization: 2 × 3 × 131 × 149

Nearest primes: 117,109 (−5) · 117,119 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 131 · 149 · 262 · 298 · 393 · 447 · 786 · 894 · 19519 · 39038 · 58557 (half) · 117114
Aliquot sum (sum of proper divisors): 120,486
Factor pairs (a × b = 117,114)
1 × 117114
2 × 58557
3 × 39038
6 × 19519
131 × 894
149 × 786
262 × 447
298 × 393
First multiples
117,114 · 234,228 (double) · 351,342 · 468,456 · 585,570 · 702,684 · 819,798 · 936,912 · 1,054,026 · 1,171,140

Sums & aliquot sequence

As consecutive integers: 39,037 + 39,038 + 39,039 29,277 + 29,278 + 29,279 + 29,280 9,754 + 9,755 + … + 9,765 829 + 830 + … + 959
Aliquot sequence: 117,114 120,486 126,618 132,582 146,778 164,262 211,290 295,878 349,818 449,862 578,490 936,966 1,035,834 1,103,046 1,418,298 1,823,622 1,823,634 — unresolved within range

Continued fraction of √n

√117,114 = [342; (4, 1, 1, 3, 1, 1, 3, 5, 40, 13, 1, 16, 1, 1, 1, 1, 1, 3, 3, 2, 15, 1, 6, 3, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand one hundred fourteen
Ordinal
117114th
Binary
11100100101111010
Octal
344572
Hexadecimal
0x1C97A
Base64
Acl6
One's complement
4,294,850,181 (32-bit)
Scientific notation
1.17114 × 10⁵
As a duration
117,114 s = 1 day, 8 hours, 31 minutes, 54 seconds
In other bases
ternary (3) 12221122120
quaternary (4) 130211322
quinary (5) 12221424
senary (6) 2302110
septenary (7) 665304
nonary (9) 187576
undecimal (11) 7aa98
duodecimal (12) 57936
tridecimal (13) 413ca
tetradecimal (14) 30974
pentadecimal (15) 24a79

As an angle

117,114° = 325 × 360° + 114°
114° ≈ 1.99 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζριδʹ
Mayan (base 20)
𝋮·𝋬·𝋯·𝋮
Chinese
一十一萬七千一百一十四
Chinese (financial)
壹拾壹萬柒仟壹佰壹拾肆
In other modern scripts
Eastern Arabic ١١٧١١٤ Devanagari ११७११४ Bengali ১১৭১১৪ Tamil ௧௧௭௧௧௪ Thai ๑๑๗๑๑๔ Tibetan ༡༡༧༡༡༤ Khmer ១១៧១១៤ Lao ໑໑໗໑໑໔ Burmese ၁၁၇၁၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117114, here are decompositions:

  • 5 + 117109 = 117114
  • 13 + 117101 = 117114
  • 43 + 117071 = 117114
  • 61 + 117053 = 117114
  • 71 + 117043 = 117114
  • 73 + 117041 = 117114
  • 97 + 117017 = 117114
  • 181 + 116933 = 117114

Showing the first eight; more decompositions exist.

Hex color
#01C97A
RGB(1, 201, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.122.

Address
0.1.201.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.122

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 117,114 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.