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131,528

131,528 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.).

131,528 (one hundred thirty-one thousand five hundred twenty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 41 × 401. Written other ways, in hexadecimal, 0x201C8.

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
18 bits
Reversed
825,131
Recamán's sequence
a(229,316) = 131,528
Square (n²)
17,299,614,784
Cube (n³)
2,275,383,733,309,952
Divisor count
16
σ(n) — sum of divisors
253,260
φ(n) — Euler's totient
64,000
Sum of prime factors
448

Primality

Prime factorization: 2 3 × 41 × 401

Nearest primes: 131,519 (−9) · 131,543 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 41 · 82 · 164 · 328 · 401 · 802 · 1604 · 3208 · 16441 · 32882 · 65764 (half) · 131528
Aliquot sum (sum of proper divisors): 121,732
Factor pairs (a × b = 131,528)
1 × 131528
2 × 65764
4 × 32882
8 × 16441
41 × 3208
82 × 1604
164 × 802
328 × 401
First multiples
131,528 · 263,056 (double) · 394,584 · 526,112 · 657,640 · 789,168 · 920,696 · 1,052,224 · 1,183,752 · 1,315,280

Sums & aliquot sequence

As a sum of two squares: 22² + 362² = 58² + 358²
As consecutive integers: 8,213 + 8,214 + … + 8,228 3,188 + 3,189 + … + 3,228 128 + 129 + … + 528
Aliquot sequence: 131,528 121,732 107,784 192,216 288,384 478,656 933,584 1,045,456 1,104,146 609,274 338,048 375,952 352,486 176,246 125,914 64,634 38,074 — unresolved within range

Continued fraction of √n

√131,528 = [362; (1, 2, 90, 2, 1, 724)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred twenty-eight
Ordinal
131528th
Binary
100000000111001000
Octal
400710
Hexadecimal
0x201C8
Base64
AgHI
One's complement
4,294,835,767 (32-bit)
Scientific notation
1.31528 × 10⁵
As a duration
131,528 s = 1 day, 12 hours, 32 minutes, 8 seconds
In other bases
ternary (3) 20200102102
quaternary (4) 200013020
quinary (5) 13202103
senary (6) 2452532
septenary (7) 1055315
nonary (9) 220372
undecimal (11) 8a901
duodecimal (12) 64148
tridecimal (13) 47b37
tetradecimal (14) 35d0c
pentadecimal (15) 28e88

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφκηʹ
Mayan (base 20)
𝋰·𝋨·𝋰·𝋨
Chinese
一十三萬一千五百二十八
Chinese (financial)
壹拾參萬壹仟伍佰貳拾捌
In other modern scripts
Eastern Arabic ١٣١٥٢٨ Devanagari १३१५२८ Bengali ১৩১৫২৮ Tamil ௧௩௧௫௨௮ Thai ๑๓๑๕๒๘ Tibetan ༡༣༡༥༢༨ Khmer ១៣១៥២៨ Lao ໑໓໑໕໒໘ Burmese ၁၃၁၅၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131528, here are decompositions:

  • 31 + 131497 = 131528
  • 79 + 131449 = 131528
  • 97 + 131431 = 131528
  • 157 + 131371 = 131528
  • 211 + 131317 = 131528
  • 277 + 131251 = 131528
  • 307 + 131221 = 131528
  • 379 + 131149 = 131528

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇈
CJK Unified Ideograph-201C8
U+201C8
Other letter (Lo)

UTF-8 encoding: F0 A0 87 88 (4 bytes).

Hex color
#0201C8
RGB(2, 1, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.200.

Address
0.2.1.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.200

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 131,528 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 131528 first appears in π at position 573,769 of the decimal expansion (the 573,769ordinal-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.