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131,738

131,738 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.).

131,738 (one hundred thirty-one thousand seven hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 199 × 331. Written other ways, in hexadecimal, 0x2029A.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
837,131
Recamán's sequence
a(228,896) = 131,738
Square (n²)
17,354,900,644
Cube (n³)
2,286,299,901,039,272
Divisor count
8
σ(n) — sum of divisors
199,200
φ(n) — Euler's totient
65,340
Sum of prime factors
532

Primality

Prime factorization: 2 × 199 × 331

Nearest primes: 131,731 (−7) · 131,743 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 199 · 331 · 398 · 662 · 65869 (half) · 131738
Aliquot sum (sum of proper divisors): 67,462
Factor pairs (a × b = 131,738)
1 × 131738
2 × 65869
199 × 662
331 × 398
First multiples
131,738 · 263,476 (double) · 395,214 · 526,952 · 658,690 · 790,428 · 922,166 · 1,053,904 · 1,185,642 · 1,317,380

Sums & aliquot sequence

As consecutive integers: 32,933 + 32,934 + 32,935 + 32,936 563 + 564 + … + 761 233 + 234 + … + 563
Aliquot sequence: 131,738 67,462 35,138 17,572 14,684 11,020 14,180 15,640 23,240 37,240 65,360 98,320 130,460 168,916 156,934 78,470 94,330 — unresolved within range

Continued fraction of √n

√131,738 = [362; (1, 22, 2, 2, 1, 1, 4, 1, 2, 1, 1, 27, 2, 1, 9, 3, 1, 1, 1, 11, 1, 7, 4, 4, …)]

Representations

In words
one hundred thirty-one thousand seven hundred thirty-eight
Ordinal
131738th
Binary
100000001010011010
Octal
401232
Hexadecimal
0x2029A
Base64
AgKa
One's complement
4,294,835,557 (32-bit)
Scientific notation
1.31738 × 10⁵
As a duration
131,738 s = 1 day, 12 hours, 35 minutes, 38 seconds
In other bases
ternary (3) 20200201012
quaternary (4) 200022122
quinary (5) 13203423
senary (6) 2453522
septenary (7) 1056035
nonary (9) 220635
undecimal (11) 8aa82
duodecimal (12) 642a2
tridecimal (13) 47c69
tetradecimal (14) 3601c
pentadecimal (15) 29078

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψληʹ
Mayan (base 20)
𝋰·𝋩·𝋦·𝋲
Chinese
一十三萬一千七百三十八
Chinese (financial)
壹拾參萬壹仟柒佰參拾捌
In other modern scripts
Eastern Arabic ١٣١٧٣٨ Devanagari १३१७३८ Bengali ১৩১৭৩৮ Tamil ௧௩௧௭௩௮ Thai ๑๓๑๗๓๘ Tibetan ༡༣༡༧༣༨ Khmer ១៣១៧៣៨ Lao ໑໓໑໗໓໘ Burmese ၁၃၁၇၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131738, here are decompositions:

  • 7 + 131731 = 131738
  • 31 + 131707 = 131738
  • 37 + 131701 = 131738
  • 67 + 131671 = 131738
  • 97 + 131641 = 131738
  • 127 + 131611 = 131738
  • 157 + 131581 = 131738
  • 241 + 131497 = 131738

Showing the first eight; more decompositions exist.

Unicode codepoint
𠊚
CJK Unified Ideograph-2029A
U+2029A
Other letter (Lo)

UTF-8 encoding: F0 A0 8A 9A (4 bytes).

Hex color
#02029A
RGB(2, 2, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.154.

Address
0.2.2.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.154

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 131,738 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 131738 first appears in π at position 995,130 of the decimal expansion (the 995,130ordinal-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.