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113,850

113,850 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.).

113,850 (one hundred thirteen thousand eight hundred fifty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2 × 3² × 5² × 11 × 23. Its proper divisors sum to 234,342, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BCBA.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
58,311
Recamán's sequence
a(56,491) = 113,850
Square (n²)
12,961,822,500
Cube (n³)
1,475,703,491,625,000
Divisor count
72
σ(n) — sum of divisors
348,192
φ(n) — Euler's totient
26,400
Sum of prime factors
52

Primality

Prime factorization: 2 × 3 2 × 5 2 × 11 × 23

Nearest primes: 113,843 (−7) · 113,891 (+41)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 11 · 15 · 18 · 22 · 23 · 25 · 30 · 33 · 45 · 46 · 50 · 55 · 66 · 69 · 75 · 90 · 99 · 110 · 115 · 138 · 150 · 165 · 198 · 207 · 225 · 230 · 253 · 275 · 330 · 345 · 414 · 450 · 495 · 506 · 550 · 575 · 690 · 759 · 825 · 990 · 1035 · 1150 · 1265 · 1518 · 1650 · 1725 · 2070 · 2277 · 2475 · 2530 · 3450 · 3795 · 4554 · 4950 · 5175 · 6325 · 7590 · 10350 · 11385 · 12650 · 18975 · 22770 · 37950 · 56925 (half) · 113850
Aliquot sum (sum of proper divisors): 234,342
Factor pairs (a × b = 113,850)
1 × 113850
2 × 56925
3 × 37950
5 × 22770
6 × 18975
9 × 12650
10 × 11385
11 × 10350
15 × 7590
18 × 6325
22 × 5175
23 × 4950
25 × 4554
30 × 3795
33 × 3450
45 × 2530
46 × 2475
50 × 2277
55 × 2070
66 × 1725
69 × 1650
75 × 1518
90 × 1265
99 × 1150
110 × 1035
115 × 990
138 × 825
150 × 759
165 × 690
198 × 575
207 × 550
225 × 506
230 × 495
253 × 450
275 × 414
330 × 345
First multiples
113,850 · 227,700 (double) · 341,550 · 455,400 · 569,250 · 683,100 · 796,950 · 910,800 · 1,024,650 · 1,138,500

Sums & aliquot sequence

As consecutive integers: 37,949 + 37,950 + 37,951 28,461 + 28,462 + 28,463 + 28,464 22,768 + 22,769 + 22,770 + 22,771 + 22,772 12,646 + 12,647 + … + 12,654
Aliquot sequence: 113,850 234,342 286,074 361,638 468,282 523,590 775,866 1,240,134 1,594,554 1,840,038 1,891,338 1,891,350 3,375,054 4,125,186 6,267,378 7,945,422 7,973,250 — unresolved within range

Continued fraction of √n

√113,850 = [337; (2, 2, 2, 674)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand eight hundred fifty
Ordinal
113850th
Binary
11011110010111010
Octal
336272
Hexadecimal
0x1BCBA
Base64
Aby6
One's complement
4,294,853,445 (32-bit)
Scientific notation
1.1385 × 10⁵
As a duration
113,850 s = 1 day, 7 hours, 37 minutes, 30 seconds
In other bases
ternary (3) 12210011200
quaternary (4) 123302322
quinary (5) 12120400
senary (6) 2235030
septenary (7) 652632
nonary (9) 183150
undecimal (11) 785a0
duodecimal (12) 55a76
tridecimal (13) 3ca89
tetradecimal (14) 2d6c2
pentadecimal (15) 23b00

As an angle

113,850° = 316 × 360° + 90°
90° ≈ 1.571 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγωνʹ
Mayan (base 20)
𝋮·𝋤·𝋬·𝋪
Chinese
一十一萬三千八百五十
Chinese (financial)
壹拾壹萬參仟捌佰伍拾
In other modern scripts
Eastern Arabic ١١٣٨٥٠ Devanagari ११३८५० Bengali ১১৩৮৫০ Tamil ௧௧௩௮௫௦ Thai ๑๑๓๘๕๐ Tibetan ༡༡༣༨༥༠ Khmer ១១៣៨៥០ Lao ໑໑໓໘໕໐ Burmese ၁၁၃၈၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113850, here are decompositions:

  • 7 + 113843 = 113850
  • 13 + 113837 = 113850
  • 31 + 113819 = 113850
  • 41 + 113809 = 113850
  • 53 + 113797 = 113850
  • 67 + 113783 = 113850
  • 71 + 113779 = 113850
  • 73 + 113777 = 113850

Showing the first eight; more decompositions exist.

Hex color
#01BCBA
RGB(1, 188, 186)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.186.

Address
0.1.188.186
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.186

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 113,850 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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