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131,826

131,826 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.).

131,826 (one hundred thirty-one thousand eight hundred twenty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 127 × 173. Its proper divisors sum to 135,438, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202F2.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
288
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
628,131
Recamán's sequence
a(228,720) = 131,826
Square (n²)
17,378,094,276
Cube (n³)
2,290,884,656,027,976
Divisor count
16
σ(n) — sum of divisors
267,264
φ(n) — Euler's totient
43,344
Sum of prime factors
305

Primality

Prime factorization: 2 × 3 × 127 × 173

Nearest primes: 131,797 (−29) · 131,837 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 127 · 173 · 254 · 346 · 381 · 519 · 762 · 1038 · 21971 · 43942 · 65913 (half) · 131826
Aliquot sum (sum of proper divisors): 135,438
Factor pairs (a × b = 131,826)
1 × 131826
2 × 65913
3 × 43942
6 × 21971
127 × 1038
173 × 762
254 × 519
346 × 381
First multiples
131,826 · 263,652 (double) · 395,478 · 527,304 · 659,130 · 790,956 · 922,782 · 1,054,608 · 1,186,434 · 1,318,260

Sums & aliquot sequence

As consecutive integers: 43,941 + 43,942 + 43,943 32,955 + 32,956 + 32,957 + 32,958 10,980 + 10,981 + … + 10,991 975 + 976 + … + 1,101
Aliquot sequence: 131,826 135,438 135,450 290,118 290,130 444,270 644,370 938,478 965,778 1,141,518 1,467,762 1,536,558 1,536,570 3,202,758 4,270,890 7,050,966 8,135,898 — unresolved within range

Continued fraction of √n

√131,826 = [363; (12, 1, 2, 1, 4, 1, 1, 4, 51, 1, 1, 1, 5, 2, 3, 1, 1, 28, 2, 14, 3, 21, 31, 1, …)]

Representations

In words
one hundred thirty-one thousand eight hundred twenty-six
Ordinal
131826th
Binary
100000001011110010
Octal
401362
Hexadecimal
0x202F2
Base64
AgLy
One's complement
4,294,835,469 (32-bit)
Scientific notation
1.31826 × 10⁵
As a duration
131,826 s = 1 day, 12 hours, 37 minutes, 6 seconds
In other bases
ternary (3) 20200211110
quaternary (4) 200023302
quinary (5) 13204301
senary (6) 2454150
septenary (7) 1056222
nonary (9) 220743
undecimal (11) 90052
duodecimal (12) 64356
tridecimal (13) 48006
tetradecimal (14) 36082
pentadecimal (15) 290d6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωκϛʹ
Mayan (base 20)
𝋰·𝋩·𝋫·𝋦
Chinese
一十三萬一千八百二十六
Chinese (financial)
壹拾參萬壹仟捌佰貳拾陸
In other modern scripts
Eastern Arabic ١٣١٨٢٦ Devanagari १३१८२६ Bengali ১৩১৮২৬ Tamil ௧௩௧௮௨௬ Thai ๑๓๑๘๒๖ Tibetan ༡༣༡༨༢༦ Khmer ១៣១៨២៦ Lao ໑໓໑໘໒໖ Burmese ၁၃၁၈၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131826, here are decompositions:

  • 29 + 131797 = 131826
  • 43 + 131783 = 131826
  • 47 + 131779 = 131826
  • 67 + 131759 = 131826
  • 83 + 131743 = 131826
  • 113 + 131713 = 131826
  • 139 + 131687 = 131826
  • 199 + 131627 = 131826

Showing the first eight; more decompositions exist.

Unicode codepoint
𠋲
CJK Unified Ideograph-202F2
U+202F2
Other letter (Lo)

UTF-8 encoding: F0 A0 8B B2 (4 bytes).

Hex color
#0202F2
RGB(2, 2, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.242.

Address
0.2.2.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.242

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 131,826 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 131826 first appears in π at position 317,826 of the decimal expansion (the 317,826ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.