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113,506

113,506 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.).

113,506 (one hundred thirteen thousand five hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 19 × 29 × 103. Written other ways, in hexadecimal, 0x1BB62.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
605,311
Recamán's sequence
a(53,771) = 113,506
Square (n²)
12,883,612,036
Cube (n³)
1,462,367,267,758,216
Divisor count
16
σ(n) — sum of divisors
187,200
φ(n) — Euler's totient
51,408
Sum of prime factors
153

Primality

Prime factorization: 2 × 19 × 29 × 103

Nearest primes: 113,501 (−5) · 113,513 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 19 · 29 · 38 · 58 · 103 · 206 · 551 · 1102 · 1957 · 2987 · 3914 · 5974 · 56753 (half) · 113506
Aliquot sum (sum of proper divisors): 73,694
Factor pairs (a × b = 113,506)
1 × 113506
2 × 56753
19 × 5974
29 × 3914
38 × 2987
58 × 1957
103 × 1102
206 × 551
First multiples
113,506 · 227,012 (double) · 340,518 · 454,024 · 567,530 · 681,036 · 794,542 · 908,048 · 1,021,554 · 1,135,060

Sums & aliquot sequence

As consecutive integers: 28,375 + 28,376 + 28,377 + 28,378 5,965 + 5,966 + … + 5,983 3,900 + 3,901 + … + 3,928 1,456 + 1,457 + … + 1,531
Aliquot sequence: 113,506 73,694 36,850 39,038 20,362 10,184 10,216 8,954 6,208 6,238 3,122 2,254 1,850 1,684 1,270 1,034 694 — unresolved within range

Continued fraction of √n

√113,506 = [336; (1, 9, 1, 2, 3, 2, 1, 21, 1, 3, 4, 2, 1, 3, 6, 3, 1, 2, 4, 3, 1, 21, 1, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand five hundred six
Ordinal
113506th
Binary
11011101101100010
Octal
335542
Hexadecimal
0x1BB62
Base64
Abti
One's complement
4,294,853,789 (32-bit)
Scientific notation
1.13506 × 10⁵
As a duration
113,506 s = 1 day, 7 hours, 31 minutes, 46 seconds
In other bases
ternary (3) 12202200221
quaternary (4) 123231202
quinary (5) 12113011
senary (6) 2233254
septenary (7) 651631
nonary (9) 182627
undecimal (11) 78308
duodecimal (12) 5582a
tridecimal (13) 3c883
tetradecimal (14) 2d518
pentadecimal (15) 23971

As an angle

113,506° = 315 × 360° + 106°
106° ≈ 1.85 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγφϛʹ
Mayan (base 20)
𝋮·𝋣·𝋯·𝋦
Chinese
一十一萬三千五百零六
Chinese (financial)
壹拾壹萬參仟伍佰零陸
In other modern scripts
Eastern Arabic ١١٣٥٠٦ Devanagari ११३५०६ Bengali ১১৩৫০৬ Tamil ௧௧௩௫௦௬ Thai ๑๑๓๕๐๖ Tibetan ༡༡༣༥༠༦ Khmer ១១៣៥០៦ Lao ໑໑໓໕໐໖ Burmese ၁၁၃၅၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113506, here are decompositions:

  • 5 + 113501 = 113506
  • 17 + 113489 = 113506
  • 53 + 113453 = 113506
  • 89 + 113417 = 113506
  • 149 + 113357 = 113506
  • 179 + 113327 = 113506
  • 227 + 113279 = 113506
  • 293 + 113213 = 113506

Showing the first eight; more decompositions exist.

Hex color
#01BB62
RGB(1, 187, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.98.

Address
0.1.187.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.98

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 113,506 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 113506 first appears in π at position 465,790 of the decimal expansion (the 465,790ordinal-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