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113,504

113,504 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.).

113,504 (one hundred thirteen thousand five hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,547. Written other ways, in hexadecimal, 0x1BB60.

Arithmetic Number Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
405,311
Recamán's sequence
a(53,767) = 113,504
Square (n²)
12,883,158,016
Cube (n³)
1,462,289,967,448,064
Divisor count
12
σ(n) — sum of divisors
223,524
φ(n) — Euler's totient
56,736
Sum of prime factors
3,557

Primality

Prime factorization: 2 5 × 3547

Nearest primes: 113,501 (−3) · 113,513 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 3547 · 7094 · 14188 · 28376 · 56752 (half) · 113504
Aliquot sum (sum of proper divisors): 110,020
Factor pairs (a × b = 113,504)
1 × 113504
2 × 56752
4 × 28376
8 × 14188
16 × 7094
32 × 3547
First multiples
113,504 · 227,008 (double) · 340,512 · 454,016 · 567,520 · 681,024 · 794,528 · 908,032 · 1,021,536 · 1,135,040

Sums & aliquot sequence

As consecutive integers: 1,742 + 1,743 + … + 1,805
Aliquot sequence: 113,504 110,020 121,064 112,636 91,484 68,620 80,564 73,324 60,740 66,856 61,484 51,916 38,944 37,790 30,250 31,994 18,874 — unresolved within range

Continued fraction of √n

√113,504 = [336; (1, 9, 2, 1, 2, 1, 1, 3, 1, 1, 7, 1, 6, 4, 1, 3, 2, 2, 6, 1, 2, 6, 2, 1, …)]

Representations

In words
one hundred thirteen thousand five hundred four
Ordinal
113504th
Binary
11011101101100000
Octal
335540
Hexadecimal
0x1BB60
Base64
Abtg
One's complement
4,294,853,791 (32-bit)
Scientific notation
1.13504 × 10⁵
As a duration
113,504 s = 1 day, 7 hours, 31 minutes, 44 seconds
In other bases
ternary (3) 12202200212
quaternary (4) 123231200
quinary (5) 12113004
senary (6) 2233252
septenary (7) 651626
nonary (9) 182625
undecimal (11) 78306
duodecimal (12) 55828
tridecimal (13) 3c881
tetradecimal (14) 2d516
pentadecimal (15) 2396e

As an angle

113,504° = 315 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγφδʹ
Mayan (base 20)
𝋮·𝋣·𝋯·𝋤
Chinese
一十一萬三千五百零四
Chinese (financial)
壹拾壹萬參仟伍佰零肆
In other modern scripts
Eastern Arabic ١١٣٥٠٤ Devanagari ११३५०४ Bengali ১১৩৫০৪ Tamil ௧௧௩௫௦௪ Thai ๑๑๓๕๐๔ Tibetan ༡༡༣༥༠༤ Khmer ១១៣៥០៤ Lao ໑໑໓໕໐໔ Burmese ၁၁၃၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113504, here are decompositions:

  • 3 + 113501 = 113504
  • 7 + 113497 = 113504
  • 37 + 113467 = 113504
  • 67 + 113437 = 113504
  • 163 + 113341 = 113504
  • 271 + 113233 = 113504
  • 277 + 113227 = 113504
  • 331 + 113173 = 113504

Showing the first eight; more decompositions exist.

Hex color
#01BB60
RGB(1, 187, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.96.

Address
0.1.187.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.96

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 113,504 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 113504 first appears in π at position 185,894 of the decimal expansion (the 185,894ordinal-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.