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117,832

117,832 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.).

117,832 (one hundred seventeen thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 13 × 103. Its proper divisors sum to 144,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CC48.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
238,711
Square (n²)
13,884,380,224
Cube (n³)
1,636,024,290,554,368
Divisor count
32
σ(n) — sum of divisors
262,080
φ(n) — Euler's totient
48,960
Sum of prime factors
133

Primality

Prime factorization: 2 3 × 11 × 13 × 103

Nearest primes: 117,811 (−21) · 117,833 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 13 · 22 · 26 · 44 · 52 · 88 · 103 · 104 · 143 · 206 · 286 · 412 · 572 · 824 · 1133 · 1144 · 1339 · 2266 · 2678 · 4532 · 5356 · 9064 · 10712 · 14729 · 29458 · 58916 (half) · 117832
Aliquot sum (sum of proper divisors): 144,248
Factor pairs (a × b = 117,832)
1 × 117832
2 × 58916
4 × 29458
8 × 14729
11 × 10712
13 × 9064
22 × 5356
26 × 4532
44 × 2678
52 × 2266
88 × 1339
103 × 1144
104 × 1133
143 × 824
206 × 572
286 × 412
First multiples
117,832 · 235,664 (double) · 353,496 · 471,328 · 589,160 · 706,992 · 824,824 · 942,656 · 1,060,488 · 1,178,320

Sums & aliquot sequence

As consecutive integers: 10,707 + 10,708 + … + 10,717 9,058 + 9,059 + … + 9,070 7,357 + 7,358 + … + 7,372 1,093 + 1,094 + … + 1,195
Aliquot sequence: 117,832 144,248 166,552 150,248 171,832 157,928 154,072 134,828 107,764 87,536 82,096 99,936 185,076 296,496 573,984 1,059,102 1,509,858 — unresolved within range

Continued fraction of √n

√117,832 = [343; (3, 1, 3, 686)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand eight hundred thirty-two
Ordinal
117832nd
Binary
11100110001001000
Octal
346110
Hexadecimal
0x1CC48
Base64
AcxI
One's complement
4,294,849,463 (32-bit)
Scientific notation
1.17832 × 10⁵
As a duration
117,832 s = 1 day, 8 hours, 43 minutes, 52 seconds
In other bases
ternary (3) 12222122011
quaternary (4) 130301020
quinary (5) 12232312
senary (6) 2305304
septenary (7) 1000351
nonary (9) 188564
undecimal (11) 80590
duodecimal (12) 58234
tridecimal (13) 41830
tetradecimal (14) 30d28
pentadecimal (15) 24da7

As an angle

117,832° = 327 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριζωλβʹ
Mayan (base 20)
𝋮·𝋮·𝋫·𝋬
Chinese
一十一萬七千八百三十二
Chinese (financial)
壹拾壹萬柒仟捌佰參拾貳
In other modern scripts
Eastern Arabic ١١٧٨٣٢ Devanagari ११७८३२ Bengali ১১৭৮৩২ Tamil ௧௧௭௮௩௨ Thai ๑๑๗๘๓๒ Tibetan ༡༡༧༨༣༢ Khmer ១១៧៨៣២ Lao ໑໑໗໘໓໒ Burmese ၁၁၇၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117832, here are decompositions:

  • 23 + 117809 = 117832
  • 53 + 117779 = 117832
  • 59 + 117773 = 117832
  • 101 + 117731 = 117832
  • 131 + 117701 = 117832
  • 173 + 117659 = 117832
  • 269 + 117563 = 117832
  • 293 + 117539 = 117832

Showing the first eight; more decompositions exist.

Unicode codepoint
𜱈
Left-Facing Bassinet
U+1CC48
Other symbol (So)

UTF-8 encoding: F0 9C B1 88 (4 bytes).

Hex color
#01CC48
RGB(1, 204, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.72.

Address
0.1.204.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.72

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 117,832 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 117832 first appears in π at position 347,142 of the decimal expansion (the 347,142ordinal-suffix:nd 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