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117,304

117,304 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.).

117,304 (one hundred seventeen thousand three hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 31 × 43. Its proper divisors sum to 136,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CA38.

Abundant Number Arithmetic Number Evil 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
403,711
Square (n²)
13,760,228,416
Cube (n³)
1,614,129,834,110,464
Divisor count
32
σ(n) — sum of divisors
253,440
φ(n) — Euler's totient
50,400
Sum of prime factors
91

Primality

Prime factorization: 2 3 × 11 × 31 × 43

Nearest primes: 117,281 (−23) · 117,307 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 22 · 31 · 43 · 44 · 62 · 86 · 88 · 124 · 172 · 248 · 341 · 344 · 473 · 682 · 946 · 1333 · 1364 · 1892 · 2666 · 2728 · 3784 · 5332 · 10664 · 14663 · 29326 · 58652 (half) · 117304
Aliquot sum (sum of proper divisors): 136,136
Factor pairs (a × b = 117,304)
1 × 117304
2 × 58652
4 × 29326
8 × 14663
11 × 10664
22 × 5332
31 × 3784
43 × 2728
44 × 2666
62 × 1892
86 × 1364
88 × 1333
124 × 946
172 × 682
248 × 473
341 × 344
First multiples
117,304 · 234,608 (double) · 351,912 · 469,216 · 586,520 · 703,824 · 821,128 · 938,432 · 1,055,736 · 1,173,040

Sums & aliquot sequence

As consecutive integers: 10,659 + 10,660 + … + 10,669 7,324 + 7,325 + … + 7,339 3,769 + 3,770 + … + 3,799 2,707 + 2,708 + … + 2,749
Aliquot sequence: 117,304 136,136 226,744 259,256 248,344 230,456 201,664 218,960 423,856 413,144 380,176 356,446 178,226 89,116 66,844 57,140 62,896 — unresolved within range

Continued fraction of √n

√117,304 = [342; (2, 75, 1, 1, 1, 1, 3, 8, 5, 1, 1, 2, 2, 1, 3, 1, 4, 1, 11, 1, 1, 1, 2, 6, …)]

Representations

In words
one hundred seventeen thousand three hundred four
Ordinal
117304th
Binary
11100101000111000
Octal
345070
Hexadecimal
0x1CA38
Base64
Aco4
One's complement
4,294,849,991 (32-bit)
Scientific notation
1.17304 × 10⁵
As a duration
117,304 s = 1 day, 8 hours, 35 minutes, 4 seconds
In other bases
ternary (3) 12221220121
quaternary (4) 130220320
quinary (5) 12223204
senary (6) 2303024
septenary (7) 665665
nonary (9) 187817
undecimal (11) 80150
duodecimal (12) 57a74
tridecimal (13) 41515
tetradecimal (14) 30a6c
pentadecimal (15) 24b54

As an angle

117,304° = 325 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζτδʹ
Mayan (base 20)
𝋮·𝋭·𝋥·𝋤
Chinese
一十一萬七千三百零四
Chinese (financial)
壹拾壹萬柒仟參佰零肆
In other modern scripts
Eastern Arabic ١١٧٣٠٤ Devanagari ११७३०४ Bengali ১১৭৩০৪ Tamil ௧௧௭௩௦௪ Thai ๑๑๗๓๐๔ Tibetan ༡༡༧༣༠༤ Khmer ១១៧៣០៤ Lao ໑໑໗໓໐໔ Burmese ၁၁၇၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117304, here are decompositions:

  • 23 + 117281 = 117304
  • 53 + 117251 = 117304
  • 101 + 117203 = 117304
  • 113 + 117191 = 117304
  • 137 + 117167 = 117304
  • 233 + 117071 = 117304
  • 251 + 117053 = 117304
  • 263 + 117041 = 117304

Showing the first eight; more decompositions exist.

Hex color
#01CA38
RGB(1, 202, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.56.

Address
0.1.202.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.56

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 117,304 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 117304 first appears in π at position 507,860 of the decimal expansion (the 507,860ordinal-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