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117,300

117,300 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.).

117,300 (one hundred seventeen thousand three hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 17 × 23. Its proper divisors sum to 257,676, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CA34.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
3,711
Square (n²)
13,759,290,000
Cube (n³)
1,613,964,717,000,000
Divisor count
72
σ(n) — sum of divisors
374,976
φ(n) — Euler's totient
28,160
Sum of prime factors
57

Primality

Prime factorization: 2 2 × 3 × 5 2 × 17 × 23

Nearest primes: 117,281 (−19) · 117,307 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 17 · 20 · 23 · 25 · 30 · 34 · 46 · 50 · 51 · 60 · 68 · 69 · 75 · 85 · 92 · 100 · 102 · 115 · 138 · 150 · 170 · 204 · 230 · 255 · 276 · 300 · 340 · 345 · 391 · 425 · 460 · 510 · 575 · 690 · 782 · 850 · 1020 · 1150 · 1173 · 1275 · 1380 · 1564 · 1700 · 1725 · 1955 · 2300 · 2346 · 2550 · 3450 · 3910 · 4692 · 5100 · 5865 · 6900 · 7820 · 9775 · 11730 · 19550 · 23460 · 29325 · 39100 · 58650 (half) · 117300
Aliquot sum (sum of proper divisors): 257,676
Factor pairs (a × b = 117,300)
1 × 117300
2 × 58650
3 × 39100
4 × 29325
5 × 23460
6 × 19550
10 × 11730
12 × 9775
15 × 7820
17 × 6900
20 × 5865
23 × 5100
25 × 4692
30 × 3910
34 × 3450
46 × 2550
50 × 2346
51 × 2300
60 × 1955
68 × 1725
69 × 1700
75 × 1564
85 × 1380
92 × 1275
100 × 1173
102 × 1150
115 × 1020
138 × 850
150 × 782
170 × 690
204 × 575
230 × 510
255 × 460
276 × 425
300 × 391
340 × 345
First multiples
117,300 · 234,600 (double) · 351,900 · 469,200 · 586,500 · 703,800 · 821,100 · 938,400 · 1,055,700 · 1,173,000

Sums & aliquot sequence

As consecutive integers: 39,099 + 39,100 + 39,101 23,458 + 23,459 + 23,460 + 23,461 + 23,462 14,659 + 14,660 + … + 14,666 7,813 + 7,814 + … + 7,827
Aliquot sequence: 117,300 257,676 352,164 469,580 537,412 403,066 233,414 116,710 112,682 58,294 29,150 31,114 16,694 9,874 4,940 6,820 9,308 — unresolved within range

Continued fraction of √n

√117,300 = [342; (2, 26, 1, 8, 1, 26, 2, 684)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand three hundred
Ordinal
117300th
Binary
11100101000110100
Octal
345064
Hexadecimal
0x1CA34
Base64
Aco0
One's complement
4,294,849,995 (32-bit)
Scientific notation
1.173 × 10⁵
As a duration
117,300 s = 1 day, 8 hours, 35 minutes
In other bases
ternary (3) 12221220110
quaternary (4) 130220310
quinary (5) 12223200
senary (6) 2303020
septenary (7) 665661
nonary (9) 187813
undecimal (11) 80147
duodecimal (12) 57a70
tridecimal (13) 41511
tetradecimal (14) 30a68
pentadecimal (15) 24b50

As an angle

117,300° = 325 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢
Greek (Milesian)
͵ριζτʹ
Mayan (base 20)
𝋮·𝋭·𝋥·𝋠
Chinese
一十一萬七千三百
Chinese (financial)
壹拾壹萬柒仟參佰
In other modern scripts
Eastern Arabic ١١٧٣٠٠ Devanagari ११७३०० Bengali ১১৭৩০০ Tamil ௧௧௭௩௦௦ Thai ๑๑๗๓๐๐ Tibetan ༡༡༧༣༠༠ Khmer ១១៧៣០០ Lao ໑໑໗໓໐໐ Burmese ၁၁၇၃၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117300, here are decompositions:

  • 19 + 117281 = 117300
  • 31 + 117269 = 117300
  • 41 + 117259 = 117300
  • 59 + 117241 = 117300
  • 61 + 117239 = 117300
  • 97 + 117203 = 117300
  • 107 + 117193 = 117300
  • 109 + 117191 = 117300

Showing the first eight; more decompositions exist.

Hex color
#01CA34
RGB(1, 202, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.52.

Address
0.1.202.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.52

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 117,300 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°.