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113,528

113,528 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.).

113,528 (one hundred thirteen thousand five hundred twenty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 23 × 617. Written other ways, in hexadecimal, 0x1BB78.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
240
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
825,311
Recamán's sequence
a(53,815) = 113,528
Square (n²)
12,888,606,784
Cube (n³)
1,463,217,750,973,952
Divisor count
16
σ(n) — sum of divisors
222,480
φ(n) — Euler's totient
54,208
Sum of prime factors
646

Primality

Prime factorization: 2 3 × 23 × 617

Nearest primes: 113,513 (−15) · 113,537 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 23 · 46 · 92 · 184 · 617 · 1234 · 2468 · 4936 · 14191 · 28382 · 56764 (half) · 113528
Aliquot sum (sum of proper divisors): 108,952
Factor pairs (a × b = 113,528)
1 × 113528
2 × 56764
4 × 28382
8 × 14191
23 × 4936
46 × 2468
92 × 1234
184 × 617
First multiples
113,528 · 227,056 (double) · 340,584 · 454,112 · 567,640 · 681,168 · 794,696 · 908,224 · 1,021,752 · 1,135,280

Sums & aliquot sequence

As consecutive integers: 7,088 + 7,089 + … + 7,103 4,925 + 4,926 + … + 4,947 125 + 126 + … + 492
Aliquot sequence: 113,528 108,952 95,348 88,990 85,970 68,794 47,846 25,594 13,574 8,674 4,340 6,412 6,468 12,684 21,364 22,526 16,114 — unresolved within range

Continued fraction of √n

√113,528 = [336; (1, 15, 2, 3, 1, 1, 95, 1, 2, 2, 1, 1, 11, 2, 4, 13, 1, 1, 8, 84, 8, 1, 1, 13, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand five hundred twenty-eight
Ordinal
113528th
Binary
11011101101111000
Octal
335570
Hexadecimal
0x1BB78
Base64
Abt4
One's complement
4,294,853,767 (32-bit)
Scientific notation
1.13528 × 10⁵
As a duration
113,528 s = 1 day, 7 hours, 32 minutes, 8 seconds
In other bases
ternary (3) 12202201202
quaternary (4) 123231320
quinary (5) 12113103
senary (6) 2233332
septenary (7) 651662
nonary (9) 182652
undecimal (11) 78328
duodecimal (12) 55848
tridecimal (13) 3c89c
tetradecimal (14) 2d532
pentadecimal (15) 23988

As an angle

113,528° = 315 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγφκηʹ
Mayan (base 20)
𝋮·𝋣·𝋰·𝋨
Chinese
一十一萬三千五百二十八
Chinese (financial)
壹拾壹萬參仟伍佰貳拾捌
In other modern scripts
Eastern Arabic ١١٣٥٢٨ Devanagari ११३५२८ Bengali ১১৩৫২৮ Tamil ௧௧௩௫௨௮ Thai ๑๑๓๕๒๘ Tibetan ༡༡༣༥༢༨ Khmer ១១៣៥២៨ Lao ໑໑໓໕໒໘ Burmese ၁၁၃၅၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113528, here are decompositions:

  • 31 + 113497 = 113528
  • 61 + 113467 = 113528
  • 157 + 113371 = 113528
  • 199 + 113329 = 113528
  • 241 + 113287 = 113528
  • 367 + 113161 = 113528
  • 379 + 113149 = 113528
  • 397 + 113131 = 113528

Showing the first eight; more decompositions exist.

Hex color
#01BB78
RGB(1, 187, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.120.

Address
0.1.187.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.120

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 113,528 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 113528 first appears in π at position 5,735 of the decimal expansion (the 5,735ordinal-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.