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117,384

117,384 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.).

117,384 (one hundred seventeen thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 67 × 73. Its proper divisors sum to 184,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CA88.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
672
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
483,711
Square (n²)
13,779,003,456
Cube (n³)
1,617,434,541,679,104
Divisor count
32
σ(n) — sum of divisors
301,920
φ(n) — Euler's totient
38,016
Sum of prime factors
149

Primality

Prime factorization: 2 3 × 3 × 67 × 73

Nearest primes: 117,373 (−11) · 117,389 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 67 · 73 · 134 · 146 · 201 · 219 · 268 · 292 · 402 · 438 · 536 · 584 · 804 · 876 · 1608 · 1752 · 4891 · 9782 · 14673 · 19564 · 29346 · 39128 · 58692 (half) · 117384
Aliquot sum (sum of proper divisors): 184,536
Factor pairs (a × b = 117,384)
1 × 117384
2 × 58692
3 × 39128
4 × 29346
6 × 19564
8 × 14673
12 × 9782
24 × 4891
67 × 1752
73 × 1608
134 × 876
146 × 804
201 × 584
219 × 536
268 × 438
292 × 402
First multiples
117,384 · 234,768 (double) · 352,152 · 469,536 · 586,920 · 704,304 · 821,688 · 939,072 · 1,056,456 · 1,173,840

Sums & aliquot sequence

As consecutive integers: 39,127 + 39,128 + 39,129 7,329 + 7,330 + … + 7,344 2,422 + 2,423 + … + 2,469 1,719 + 1,720 + … + 1,785
Aliquot sequence: 117,384 184,536 363,024 653,342 373,090 298,490 267,430 225,050 254,086 181,514 96,694 59,546 34,534 19,034 10,534 6,026 3,478 — unresolved within range

Continued fraction of √n

√117,384 = [342; (1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 684)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand three hundred eighty-four
Ordinal
117384th
Binary
11100101010001000
Octal
345210
Hexadecimal
0x1CA88
Base64
AcqI
One's complement
4,294,849,911 (32-bit)
Scientific notation
1.17384 × 10⁵
As a duration
117,384 s = 1 day, 8 hours, 36 minutes, 24 seconds
In other bases
ternary (3) 12222000120
quaternary (4) 130222020
quinary (5) 12224014
senary (6) 2303240
septenary (7) 666141
nonary (9) 188016
undecimal (11) 80213
duodecimal (12) 57b20
tridecimal (13) 41577
tetradecimal (14) 30ac8
pentadecimal (15) 24ba9

As an angle

117,384° = 326 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζτπδʹ
Mayan (base 20)
𝋮·𝋭·𝋩·𝋤
Chinese
一十一萬七千三百八十四
Chinese (financial)
壹拾壹萬柒仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١١٧٣٨٤ Devanagari ११७३८४ Bengali ১১৭৩৮৪ Tamil ௧௧௭௩௮௪ Thai ๑๑๗๓๘๔ Tibetan ༡༡༧༣༨༤ Khmer ១១៧៣៨៤ Lao ໑໑໗໓໘໔ Burmese ၁၁၇၃၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117384, here are decompositions:

  • 11 + 117373 = 117384
  • 13 + 117371 = 117384
  • 23 + 117361 = 117384
  • 31 + 117353 = 117384
  • 53 + 117331 = 117384
  • 103 + 117281 = 117384
  • 181 + 117203 = 117384
  • 191 + 117193 = 117384

Showing the first eight; more decompositions exist.

Hex color
#01CA88
RGB(1, 202, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.136.

Address
0.1.202.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.136

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 117,384 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 117384 first appears in π at position 818,927 of the decimal expansion (the 818,927ordinal-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

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