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117,700

117,700 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.).

117,700 (one hundred seventeen thousand seven hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 11 × 107. Its proper divisors sum to 163,532, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CBC4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
7,711
Square (n²)
13,853,290,000
Cube (n³)
1,630,532,233,000,000
Divisor count
36
σ(n) — sum of divisors
281,232
φ(n) — Euler's totient
42,400
Sum of prime factors
132

Primality

Prime factorization: 2 2 × 5 2 × 11 × 107

Nearest primes: 117,679 (−21) · 117,701 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 25 · 44 · 50 · 55 · 100 · 107 · 110 · 214 · 220 · 275 · 428 · 535 · 550 · 1070 · 1100 · 1177 · 2140 · 2354 · 2675 · 4708 · 5350 · 5885 · 10700 · 11770 · 23540 · 29425 · 58850 (half) · 117700
Aliquot sum (sum of proper divisors): 163,532
Factor pairs (a × b = 117,700)
1 × 117700
2 × 58850
4 × 29425
5 × 23540
10 × 11770
11 × 10700
20 × 5885
22 × 5350
25 × 4708
44 × 2675
50 × 2354
55 × 2140
100 × 1177
107 × 1100
110 × 1070
214 × 550
220 × 535
275 × 428
First multiples
117,700 · 235,400 (double) · 353,100 · 470,800 · 588,500 · 706,200 · 823,900 · 941,600 · 1,059,300 · 1,177,000

Sums & aliquot sequence

As consecutive integers: 23,538 + 23,539 + 23,540 + 23,541 + 23,542 14,709 + 14,710 + … + 14,716 10,695 + 10,696 + … + 10,705 4,696 + 4,697 + … + 4,720
Aliquot sequence: 117,700 163,532 122,656 118,886 59,446 29,726 15,634 7,820 10,324 8,576 8,764 8,820 22,302 35,298 44,730 90,054 105,102 — unresolved within range

Continued fraction of √n

√117,700 = [343; (13, 2, 4, 1, 3, 9, 1, 2, 6, 1, 4, 13, 1, 3, 1, 14, 1, 3, 1, 13, 4, 1, 6, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand seven hundred
Ordinal
117700th
Binary
11100101111000100
Octal
345704
Hexadecimal
0x1CBC4
Base64
AcvE
One's complement
4,294,849,595 (32-bit)
Scientific notation
1.177 × 10⁵
As a duration
117,700 s = 1 day, 8 hours, 41 minutes, 40 seconds
In other bases
ternary (3) 12222110021
quaternary (4) 130233010
quinary (5) 12231300
senary (6) 2304524
septenary (7) 1000102
nonary (9) 188407
undecimal (11) 80480
duodecimal (12) 58144
tridecimal (13) 4175b
tetradecimal (14) 30c72
pentadecimal (15) 24d1a

As an angle

117,700° = 326 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριζψʹ
Mayan (base 20)
𝋮·𝋮·𝋥·𝋠
Chinese
一十一萬七千七百
Chinese (financial)
壹拾壹萬柒仟柒佰
In other modern scripts
Eastern Arabic ١١٧٧٠٠ Devanagari ११७७०० Bengali ১১৭৭০০ Tamil ௧௧௭௭௦௦ Thai ๑๑๗๗๐๐ Tibetan ༡༡༧༧༠༠ Khmer ១១៧៧០០ Lao ໑໑໗໗໐໐ Burmese ၁၁၇၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117700, here are decompositions:

  • 29 + 117671 = 117700
  • 41 + 117659 = 117700
  • 83 + 117617 = 117700
  • 137 + 117563 = 117700
  • 197 + 117503 = 117700
  • 257 + 117443 = 117700
  • 263 + 117437 = 117700
  • 269 + 117431 = 117700

Showing the first eight; more decompositions exist.

Hex color
#01CBC4
RGB(1, 203, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.196.

Address
0.1.203.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.196

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 117,700 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