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113,728

113,728 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.).

113,728 (one hundred thirteen thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 1,777. Written other ways, in hexadecimal, 0x1BC40.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
827,311
Recamán's sequence
a(56,247) = 113,728
Square (n²)
12,934,057,984
Cube (n³)
1,470,964,546,404,352
Divisor count
14
σ(n) — sum of divisors
225,806
φ(n) — Euler's totient
56,832
Sum of prime factors
1,789

Primality

Prime factorization: 2 6 × 1777

Nearest primes: 113,723 (−5) · 113,731 (+3)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 1777 · 3554 · 7108 · 14216 · 28432 · 56864 (half) · 113728
Aliquot sum (sum of proper divisors): 112,078
Factor pairs (a × b = 113,728)
1 × 113728
2 × 56864
4 × 28432
8 × 14216
16 × 7108
32 × 3554
64 × 1777
First multiples
113,728 · 227,456 (double) · 341,184 · 454,912 · 568,640 · 682,368 · 796,096 · 909,824 · 1,023,552 · 1,137,280

Sums & aliquot sequence

As a sum of two squares: 128² + 312²
As consecutive integers: 825 + 826 + … + 952
Aliquot sequence: 113,728 112,078 56,042 40,054 28,634 15,046 7,526 4,138 2,072 2,488 2,192 2,086 1,514 760 1,040 1,564 1,460 — unresolved within range

Continued fraction of √n

√113,728 = [337; (4, 4, 6, 3, 5, 8, 7, 4, 1, 3, 1, 1, 1, 1, 13, 2, 3, 1, 5, 3, 2, 1, 16, 1, …)]

Representations

In words
one hundred thirteen thousand seven hundred twenty-eight
Ordinal
113728th
Binary
11011110001000000
Octal
336100
Hexadecimal
0x1BC40
Base64
AbxA
One's complement
4,294,853,567 (32-bit)
Scientific notation
1.13728 × 10⁵
As a duration
113,728 s = 1 day, 7 hours, 35 minutes, 28 seconds
In other bases
ternary (3) 12210000011
quaternary (4) 123301000
quinary (5) 12114403
senary (6) 2234304
septenary (7) 652366
nonary (9) 183004
undecimal (11) 7849a
duodecimal (12) 55994
tridecimal (13) 3c9c4
tetradecimal (14) 2d636
pentadecimal (15) 23a6d

As an angle

113,728° = 315 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγψκηʹ
Mayan (base 20)
𝋮·𝋤·𝋦·𝋨
Chinese
一十一萬三千七百二十八
Chinese (financial)
壹拾壹萬參仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١١٣٧٢٨ Devanagari ११३७२८ Bengali ১১৩৭২৮ Tamil ௧௧௩௭௨௮ Thai ๑๑๓๗๒๘ Tibetan ༡༡༣༧༢༨ Khmer ១១៣៧២៨ Lao ໑໑໓໗໒໘ Burmese ၁၁၃၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113728, here are decompositions:

  • 5 + 113723 = 113728
  • 11 + 113717 = 113728
  • 71 + 113657 = 113728
  • 107 + 113621 = 113728
  • 137 + 113591 = 113728
  • 191 + 113537 = 113728
  • 227 + 113501 = 113728
  • 239 + 113489 = 113728

Showing the first eight; more decompositions exist.

Unicode codepoint
𛱀
Duployan Letter S K R
U+1BC40
Other letter (Lo)

UTF-8 encoding: F0 9B B1 80 (4 bytes).

Hex color
#01BC40
RGB(1, 188, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.64.

Address
0.1.188.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.64

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 113,728 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 113728 first appears in π at position 587,409 of the decimal expansion (the 587,409ordinal-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