number.wiki
Live analysis

112,832

112,832 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.).

112,832 (one hundred twelve thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 41 × 43. Its proper divisors sum to 121,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B8C0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
238,211
Recamán's sequence
a(52,663) = 112,832
Square (n²)
12,731,060,224
Cube (n³)
1,436,470,987,194,368
Divisor count
28
σ(n) — sum of divisors
234,696
φ(n) — Euler's totient
53,760
Sum of prime factors
96

Primality

Prime factorization: 2 6 × 41 × 43

Nearest primes: 112,831 (−1) · 112,843 (+11)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 32 · 41 · 43 · 64 · 82 · 86 · 164 · 172 · 328 · 344 · 656 · 688 · 1312 · 1376 · 1763 · 2624 · 2752 · 3526 · 7052 · 14104 · 28208 · 56416 (half) · 112832
Aliquot sum (sum of proper divisors): 121,864
Factor pairs (a × b = 112,832)
1 × 112832
2 × 56416
4 × 28208
8 × 14104
16 × 7052
32 × 3526
41 × 2752
43 × 2624
64 × 1763
82 × 1376
86 × 1312
164 × 688
172 × 656
328 × 344
First multiples
112,832 · 225,664 (double) · 338,496 · 451,328 · 564,160 · 676,992 · 789,824 · 902,656 · 1,015,488 · 1,128,320

Sums & aliquot sequence

As consecutive integers: 2,732 + 2,733 + … + 2,772 2,603 + 2,604 + … + 2,645 818 + 819 + … + 945
Aliquot sequence: 112,832 121,864 106,646 53,326 45,458 37,486 18,746 16,198 14,042 11,878 5,942 2,974 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√112,832 = [335; (1, 9, 2, 167, 2, 9, 1, 670)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand eight hundred thirty-two
Ordinal
112832nd
Binary
11011100011000000
Octal
334300
Hexadecimal
0x1B8C0
Base64
AbjA
One's complement
4,294,854,463 (32-bit)
Scientific notation
1.12832 × 10⁵
As a duration
112,832 s = 1 day, 7 hours, 20 minutes, 32 seconds
In other bases
ternary (3) 12201202222
quaternary (4) 123203000
quinary (5) 12102312
senary (6) 2230212
septenary (7) 646646
nonary (9) 181688
undecimal (11) 77855
duodecimal (12) 55368
tridecimal (13) 3c485
tetradecimal (14) 2d196
pentadecimal (15) 23672
Palindromic in base 7

As an angle

112,832° = 313 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριβωλβʹ
Mayan (base 20)
𝋮·𝋢·𝋡·𝋬
Chinese
一十一萬二千八百三十二
Chinese (financial)
壹拾壹萬貳仟捌佰參拾貳
In other modern scripts
Eastern Arabic ١١٢٨٣٢ Devanagari ११२८३२ Bengali ১১২৮৩২ Tamil ௧௧௨௮௩௨ Thai ๑๑๒๘๓๒ Tibetan ༡༡༢༨༣༢ Khmer ១១២៨៣២ Lao ໑໑໒໘໓໒ Burmese ၁၁၂၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112832, here are decompositions:

  • 61 + 112771 = 112832
  • 73 + 112759 = 112832
  • 211 + 112621 = 112832
  • 229 + 112603 = 112832
  • 331 + 112501 = 112832
  • 373 + 112459 = 112832
  • 541 + 112291 = 112832
  • 571 + 112261 = 112832

Showing the first eight; more decompositions exist.

Hex color
#01B8C0
RGB(1, 184, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.192.

Address
0.1.184.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.192

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 112,832 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 112832 first appears in π at position 777,129 of the decimal expansion (the 777,129ordinal-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

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