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112,332

112,332 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.).

112,332 (one hundred twelve thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 23 × 37. Its proper divisors sum to 194,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B6CC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
233,211
Square (n²)
12,618,478,224
Cube (n³)
1,417,458,895,858,368
Divisor count
48
σ(n) — sum of divisors
306,432
φ(n) — Euler's totient
31,680
Sum of prime factors
78

Primality

Prime factorization: 2 2 × 3 × 11 × 23 × 37

Nearest primes: 112,331 (−1) · 112,337 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 23 · 33 · 37 · 44 · 46 · 66 · 69 · 74 · 92 · 111 · 132 · 138 · 148 · 222 · 253 · 276 · 407 · 444 · 506 · 759 · 814 · 851 · 1012 · 1221 · 1518 · 1628 · 1702 · 2442 · 2553 · 3036 · 3404 · 4884 · 5106 · 9361 · 10212 · 18722 · 28083 · 37444 · 56166 (half) · 112332
Aliquot sum (sum of proper divisors): 194,100
Factor pairs (a × b = 112,332)
1 × 112332
2 × 56166
3 × 37444
4 × 28083
6 × 18722
11 × 10212
12 × 9361
22 × 5106
23 × 4884
33 × 3404
37 × 3036
44 × 2553
46 × 2442
66 × 1702
69 × 1628
74 × 1518
92 × 1221
111 × 1012
132 × 851
138 × 814
148 × 759
222 × 506
253 × 444
276 × 407
First multiples
112,332 · 224,664 (double) · 336,996 · 449,328 · 561,660 · 673,992 · 786,324 · 898,656 · 1,010,988 · 1,123,320

Sums & aliquot sequence

As consecutive integers: 37,443 + 37,444 + 37,445 14,038 + 14,039 + … + 14,045 10,207 + 10,208 + … + 10,217 4,873 + 4,874 + … + 4,895
Aliquot sequence: 112,332 194,100 368,364 491,180 567,220 642,380 706,660 797,780 897,172 681,804 1,132,596 1,804,044 2,873,076 3,830,796 5,852,696 5,121,124 3,840,850 — unresolved within range

Continued fraction of √n

√112,332 = [335; (6, 3, 1, 3, 1, 166, 1, 3, 1, 3, 6, 670)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand three hundred thirty-two
Ordinal
112332nd
Binary
11011011011001100
Octal
333314
Hexadecimal
0x1B6CC
Base64
AbbM
One's complement
4,294,854,963 (32-bit)
Scientific notation
1.12332 × 10⁵
As a duration
112,332 s = 1 day, 7 hours, 12 minutes, 12 seconds
In other bases
ternary (3) 12201002110
quaternary (4) 123123030
quinary (5) 12043312
senary (6) 2224020
septenary (7) 645333
nonary (9) 181073
undecimal (11) 77440
duodecimal (12) 55010
tridecimal (13) 3c18c
tetradecimal (14) 2cd1a
pentadecimal (15) 2343c

As an angle

112,332° = 312 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριβτλβʹ
Mayan (base 20)
𝋮·𝋠·𝋰·𝋬
Chinese
一十一萬二千三百三十二
Chinese (financial)
壹拾壹萬貳仟參佰參拾貳
In other modern scripts
Eastern Arabic ١١٢٣٣٢ Devanagari ११२३३२ Bengali ১১২৩৩২ Tamil ௧௧௨௩௩௨ Thai ๑๑๒๓๓๒ Tibetan ༡༡༢༣༣༢ Khmer ១១២៣៣២ Lao ໑໑໒໓໓໒ Burmese ၁၁၂၃၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112332, here are decompositions:

  • 5 + 112327 = 112332
  • 29 + 112303 = 112332
  • 41 + 112291 = 112332
  • 43 + 112289 = 112332
  • 53 + 112279 = 112332
  • 71 + 112261 = 112332
  • 79 + 112253 = 112332
  • 83 + 112249 = 112332

Showing the first eight; more decompositions exist.

Hex color
#01B6CC
RGB(1, 182, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.204.

Address
0.1.182.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.204

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 112,332 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 112332 first appears in π at position 372,120 of the decimal expansion (the 372,120ordinal-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°.