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131,783

131,783 is a prime, odd.

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.).

131,783 (one hundred thirty-one thousand seven hundred eighty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x202C7.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
387,131
Recamán's sequence
a(228,806) = 131,783
Square (n²)
17,366,759,089
Cube (n³)
2,288,643,613,025,687
Divisor count
2
σ(n) — sum of divisors
131,784
φ(n) — Euler's totient
131,782

Primality

131,783 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131783
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,783)
1 × 131783
First multiples
131,783 · 263,566 (double) · 395,349 · 527,132 · 658,915 · 790,698 · 922,481 · 1,054,264 · 1,186,047 · 1,317,830

Sums & aliquot sequence

As consecutive integers: 65,891 + 65,892

Continued fraction of √n

√131,783 = [363; (51, 1, 6, 14, 1, 2, 15, 9, 2, 1, 2, 1, 32, 3, 1, 1, 1, 8, 1, 3, 1, 4, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand seven hundred eighty-three
Ordinal
131783rd
Binary
100000001011000111
Octal
401307
Hexadecimal
0x202C7
Base64
AgLH
One's complement
4,294,835,512 (32-bit)
Scientific notation
1.31783 × 10⁵
As a duration
131,783 s = 1 day, 12 hours, 36 minutes, 23 seconds
In other bases
ternary (3) 20200202212
quaternary (4) 200023013
quinary (5) 13204113
senary (6) 2454035
septenary (7) 1056131
nonary (9) 220685
undecimal (11) 90013
duodecimal (12) 6431b
tridecimal (13) 47ca2
tetradecimal (14) 36051
pentadecimal (15) 290a8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψπγʹ
Mayan (base 20)
𝋰·𝋩·𝋩·𝋣
Chinese
一十三萬一千七百八十三
Chinese (financial)
壹拾參萬壹仟柒佰捌拾參
In other modern scripts
Eastern Arabic ١٣١٧٨٣ Devanagari १३१७८३ Bengali ১৩১৭৮৩ Tamil ௧௩௧௭௮௩ Thai ๑๓๑๗๘๓ Tibetan ༡༣༡༧༨༣ Khmer ១៣១៧៨៣ Lao ໑໓໑໗໘໓ Burmese ၁၃၁၇၈၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 131779.

Unicode codepoint
𠋇
CJK Unified Ideograph-202C7
U+202C7
Other letter (Lo)

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

Hex color
#0202C7
RGB(2, 2, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.199.

Address
0.2.2.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.199

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 131,783 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 131783 first appears in π at position 397,321 of the decimal expansion (the 397,321ordinal-suffix:st 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.