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117,584

117,584 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.).

117,584 (one hundred seventeen thousand five hundred eighty-four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 7,349. Written other ways, in hexadecimal, 0x1CB50.

Arithmetic Number Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,120
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
485,711
Square (n²)
13,825,997,056
Cube (n³)
1,625,716,037,832,704
Divisor count
10
σ(n) — sum of divisors
227,850
φ(n) — Euler's totient
58,784
Sum of prime factors
7,357

Primality

Prime factorization: 2 4 × 7349

Nearest primes: 117,577 (−7) · 117,617 (+33)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 7349 · 14698 · 29396 · 58792 (half) · 117584
Aliquot sum (sum of proper divisors): 110,266
Factor pairs (a × b = 117,584)
1 × 117584
2 × 58792
4 × 29396
8 × 14698
16 × 7349
First multiples
117,584 · 235,168 (double) · 352,752 · 470,336 · 587,920 · 705,504 · 823,088 · 940,672 · 1,058,256 · 1,175,840

Sums & aliquot sequence

As a sum of two squares: 100² + 328²
As consecutive integers: 3,659 + 3,660 + … + 3,690
Aliquot sequence: 117,584 110,266 67,898 39,994 20,000 29,203 3,197 163 1 0 — terminates at zero

Continued fraction of √n

√117,584 = [342; (1, 9, 1, 1, 4, 3, 1, 2, 12, 9, 3, 5, 2, 1, 7, 1, 7, 1, 3, 1, 9, 1, 11, 1, …)]

Representations

In words
one hundred seventeen thousand five hundred eighty-four
Ordinal
117584th
Binary
11100101101010000
Octal
345520
Hexadecimal
0x1CB50
Base64
ActQ
One's complement
4,294,849,711 (32-bit)
Scientific notation
1.17584 × 10⁵
As a duration
117,584 s = 1 day, 8 hours, 39 minutes, 44 seconds
In other bases
ternary (3) 12222021222
quaternary (4) 130231100
quinary (5) 12230314
senary (6) 2304212
septenary (7) 666545
nonary (9) 188258
undecimal (11) 80385
duodecimal (12) 58068
tridecimal (13) 4169c
tetradecimal (14) 30bcc
pentadecimal (15) 24c8e

As an angle

117,584° = 326 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζφπδʹ
Mayan (base 20)
𝋮·𝋭·𝋳·𝋤
Chinese
一十一萬七千五百八十四
Chinese (financial)
壹拾壹萬柒仟伍佰捌拾肆
In other modern scripts
Eastern Arabic ١١٧٥٨٤ Devanagari ११७५८४ Bengali ১১৭৫৮৪ Tamil ௧௧௭௫௮௪ Thai ๑๑๗๕๘๔ Tibetan ༡༡༧༥༨༤ Khmer ១១៧៥៨៤ Lao ໑໑໗໕໘໔ Burmese ၁၁၇၅၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117584, here are decompositions:

  • 7 + 117577 = 117584
  • 13 + 117571 = 117584
  • 43 + 117541 = 117584
  • 67 + 117517 = 117584
  • 73 + 117511 = 117584
  • 157 + 117427 = 117584
  • 211 + 117373 = 117584
  • 223 + 117361 = 117584

Showing the first eight; more decompositions exist.

Hex color
#01CB50
RGB(1, 203, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.80.

Address
0.1.203.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.80

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 117,584 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 117584 first appears in π at position 740,093 of the decimal expansion (the 740,093ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.