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112,838

112,838 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.).

112,838 (one hundred twelve thousand eight hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 23 × 223. Written other ways, in hexadecimal, 0x1B8C6.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
384
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
838,211
Recamán's sequence
a(52,651) = 112,838
Square (n²)
12,732,414,244
Cube (n³)
1,436,700,158,464,472
Divisor count
16
σ(n) — sum of divisors
193,536
φ(n) — Euler's totient
48,840
Sum of prime factors
259

Primality

Prime factorization: 2 × 11 × 23 × 223

Nearest primes: 112,831 (−7) · 112,843 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 22 · 23 · 46 · 223 · 253 · 446 · 506 · 2453 · 4906 · 5129 · 10258 · 56419 (half) · 112838
Aliquot sum (sum of proper divisors): 80,698
Factor pairs (a × b = 112,838)
1 × 112838
2 × 56419
11 × 10258
22 × 5129
23 × 4906
46 × 2453
223 × 506
253 × 446
First multiples
112,838 · 225,676 (double) · 338,514 · 451,352 · 564,190 · 677,028 · 789,866 · 902,704 · 1,015,542 · 1,128,380

Sums & aliquot sequence

As consecutive integers: 28,208 + 28,209 + 28,210 + 28,211 10,253 + 10,254 + … + 10,263 4,895 + 4,896 + … + 4,917 2,543 + 2,544 + … + 2,586
Aliquot sequence: 112,838 80,698 41,594 29,734 14,870 11,914 9,974 4,990 4,010 3,226 1,616 1,546 776 694 350 394 200 — unresolved within range

Continued fraction of √n

√112,838 = [335; (1, 10, 1, 1, 2, 2, 4, 1, 1, 2, 10, 1, 1, 1, 1, 1, 3, 1, 7, 1, 2, 1, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand eight hundred thirty-eight
Ordinal
112838th
Binary
11011100011000110
Octal
334306
Hexadecimal
0x1B8C6
Base64
AbjG
One's complement
4,294,854,457 (32-bit)
Scientific notation
1.12838 × 10⁵
As a duration
112,838 s = 1 day, 7 hours, 20 minutes, 38 seconds
In other bases
ternary (3) 12201210012
quaternary (4) 123203012
quinary (5) 12102323
senary (6) 2230222
septenary (7) 646655
nonary (9) 181705
undecimal (11) 77860
duodecimal (12) 55372
tridecimal (13) 3c48b
tetradecimal (14) 2d19c
pentadecimal (15) 23678

As an angle

112,838° = 313 × 360° + 158°
158° ≈ 2.758 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβωληʹ
Mayan (base 20)
𝋮·𝋢·𝋡·𝋲
Chinese
一十一萬二千八百三十八
Chinese (financial)
壹拾壹萬貳仟捌佰參拾捌
In other modern scripts
Eastern Arabic ١١٢٨٣٨ Devanagari ११२८३८ Bengali ১১২৮৩৮ Tamil ௧௧௨௮௩௮ Thai ๑๑๒๘๓๘ Tibetan ༡༡༢༨༣༨ Khmer ១១២៨៣៨ Lao ໑໑໒໘໓໘ Burmese ၁၁၂၈၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112838, here are decompositions:

  • 7 + 112831 = 112838
  • 31 + 112807 = 112838
  • 67 + 112771 = 112838
  • 79 + 112759 = 112838
  • 97 + 112741 = 112838
  • 151 + 112687 = 112838
  • 181 + 112657 = 112838
  • 331 + 112507 = 112838

Showing the first eight; more decompositions exist.

Hex color
#01B8C6
RGB(1, 184, 198)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.198.

Address
0.1.184.198
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.198

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 112,838 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 112838 first appears in π at position 636,426 of the decimal expansion (the 636,426ordinal-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.