number.wiki
Live analysis

113,816

113,816 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.).

113,816 (one hundred thirteen thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 41 × 347. Written other ways, in hexadecimal, 0x1BC98.

Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
144
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
618,311
Recamán's sequence
a(56,423) = 113,816
Square (n²)
12,954,081,856
Cube (n³)
1,474,381,780,522,496
Divisor count
16
σ(n) — sum of divisors
219,240
φ(n) — Euler's totient
55,360
Sum of prime factors
394

Primality

Prime factorization: 2 3 × 41 × 347

Nearest primes: 113,809 (−7) · 113,819 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 41 · 82 · 164 · 328 · 347 · 694 · 1388 · 2776 · 14227 · 28454 · 56908 (half) · 113816
Aliquot sum (sum of proper divisors): 105,424
Factor pairs (a × b = 113,816)
1 × 113816
2 × 56908
4 × 28454
8 × 14227
41 × 2776
82 × 1388
164 × 694
328 × 347
First multiples
113,816 · 227,632 (double) · 341,448 · 455,264 · 569,080 · 682,896 · 796,712 · 910,528 · 1,024,344 · 1,138,160

Sums & aliquot sequence

As consecutive integers: 7,106 + 7,107 + … + 7,121 2,756 + 2,757 + … + 2,796 155 + 156 + … + 501
Aliquot sequence: 113,816 105,424 117,776 124,396 95,852 77,524 58,150 50,102 34,570 27,674 14,554 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Continued fraction of √n

√113,816 = [337; (2, 1, 2, 1, 2, 2, 2, 3, 4, 3, 1, 3, 6, 3, 1, 1, 33, 5, 1, 16, 29, 3, 1, 1, …)]

Representations

In words
one hundred thirteen thousand eight hundred sixteen
Ordinal
113816th
Binary
11011110010011000
Octal
336230
Hexadecimal
0x1BC98
Base64
AbyY
One's complement
4,294,853,479 (32-bit)
Scientific notation
1.13816 × 10⁵
As a duration
113,816 s = 1 day, 7 hours, 36 minutes, 56 seconds
In other bases
ternary (3) 12210010102
quaternary (4) 123302120
quinary (5) 12120231
senary (6) 2234532
septenary (7) 652553
nonary (9) 183112
undecimal (11) 7856a
duodecimal (12) 55a48
tridecimal (13) 3ca61
tetradecimal (14) 2d69a
pentadecimal (15) 23acb

As an angle

113,816° = 316 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγωιϛʹ
Mayan (base 20)
𝋮·𝋤·𝋪·𝋰
Chinese
一十一萬三千八百一十六
Chinese (financial)
壹拾壹萬參仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١١٣٨١٦ Devanagari ११३८१६ Bengali ১১৩৮১৬ Tamil ௧௧௩௮௧௬ Thai ๑๑๓๘๑๖ Tibetan ༡༡༣༨༡༦ Khmer ១១៣៨១៦ Lao ໑໑໓໘໑໖ Burmese ၁၁၃၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113816, here are decompositions:

  • 7 + 113809 = 113816
  • 19 + 113797 = 113816
  • 37 + 113779 = 113816
  • 67 + 113749 = 113816
  • 97 + 113719 = 113816
  • 193 + 113623 = 113816
  • 277 + 113539 = 113816
  • 349 + 113467 = 113816

Showing the first eight; more decompositions exist.

Unicode codepoint
𛲘
Duployan Affix Low Vertical
U+1BC98
Other letter (Lo)

UTF-8 encoding: F0 9B B2 98 (4 bytes).

Hex color
#01BC98
RGB(1, 188, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.152.

Address
0.1.188.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.152

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 113,816 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

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