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131,314

131,314 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.).

131,314 (one hundred thirty-one thousand three hundred fourteen) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 65,657. Written other ways, in hexadecimal, 0x200F2.

Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
36
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
413,131
Recamán's sequence
a(24,383) = 131,314
Square (n²)
17,243,366,596
Cube (n³)
2,264,295,441,187,144
Divisor count
4
σ(n) — sum of divisors
196,974
φ(n) — Euler's totient
65,656
Sum of prime factors
65,659

Primality

Prime factorization: 2 × 65657

Nearest primes: 131,311 (−3) · 131,317 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 65657 (half) · 131314
Aliquot sum (sum of proper divisors): 65,660
Factor pairs (a × b = 131,314)
1 × 131314
2 × 65657
First multiples
131,314 · 262,628 (double) · 393,942 · 525,256 · 656,570 · 787,884 · 919,198 · 1,050,512 · 1,181,826 · 1,313,140

Sums & aliquot sequence

As a sum of two squares: 245² + 267²
As consecutive integers: 32,827 + 32,828 + 32,829 + 32,830
Aliquot sequence: 131,314 65,660 97,132 97,188 185,052 308,644 321,244 396,956 397,012 469,868 485,044 543,116 634,732 634,788 1,374,492 2,291,044 2,373,266 — unresolved within range

Continued fraction of √n

√131,314 = [362; (2, 1, 2, 6, 1, 1, 8, 1, 1, 1, 3, 6, 3, 1, 10, 2, 1, 1, 3, 1, 1, 5, 17, 2, …)]

Representations

In words
one hundred thirty-one thousand three hundred fourteen
Ordinal
131314th
Binary
100000000011110010
Octal
400362
Hexadecimal
0x200F2
Base64
AgDy
One's complement
4,294,835,981 (32-bit)
Scientific notation
1.31314 × 10⁵
As a duration
131,314 s = 1 day, 12 hours, 28 minutes, 34 seconds
In other bases
ternary (3) 20200010111
quaternary (4) 200003302
quinary (5) 13200224
senary (6) 2451534
septenary (7) 1054561
nonary (9) 220114
undecimal (11) 8a727
duodecimal (12) 63baa
tridecimal (13) 47a01
tetradecimal (14) 35bd8
pentadecimal (15) 28d94

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατιδʹ
Mayan (base 20)
𝋰·𝋨·𝋥·𝋮
Chinese
一十三萬一千三百一十四
Chinese (financial)
壹拾參萬壹仟參佰壹拾肆
In other modern scripts
Eastern Arabic ١٣١٣١٤ Devanagari १३१३१४ Bengali ১৩১৩১৪ Tamil ௧௩௧௩௧௪ Thai ๑๓๑๓๑๔ Tibetan ༡༣༡༣༡༤ Khmer ១៣១៣១៤ Lao ໑໓໑໓໑໔ Burmese ၁၃၁၃၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131314, here are decompositions:

  • 3 + 131311 = 131314
  • 11 + 131303 = 131314
  • 17 + 131297 = 131314
  • 47 + 131267 = 131314
  • 83 + 131231 = 131314
  • 101 + 131213 = 131314
  • 251 + 131063 = 131314
  • 503 + 130811 = 131314

Showing the first eight; more decompositions exist.

Unicode codepoint
𠃲
CJK Unified Ideograph-200F2
U+200F2
Other letter (Lo)

UTF-8 encoding: F0 A0 83 B2 (4 bytes).

Hex color
#0200F2
RGB(2, 0, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.242.

Address
0.2.0.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.242

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 131,314 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 131314 first appears in π at position 209,770 of the decimal expansion (the 209,770ordinal-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