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131,893

131,893 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.).

131,893 (one hundred thirty-one thousand eight hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20335.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
648
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
398,131
Recamán's sequence
a(228,586) = 131,893
Square (n²)
17,395,763,449
Cube (n³)
2,294,379,428,578,957
Divisor count
2
σ(n) — sum of divisors
131,894
φ(n) — Euler's totient
131,892

Primality

131,893 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131893
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,893)
1 × 131893
First multiples
131,893 · 263,786 (double) · 395,679 · 527,572 · 659,465 · 791,358 · 923,251 · 1,055,144 · 1,187,037 · 1,318,930

Sums & aliquot sequence

As a sum of two squares: 158² + 327²
As consecutive integers: 65,946 + 65,947

Continued fraction of √n

√131,893 = [363; (5, 1, 5, 1, 21, 6, 2, 1, 1, 1, 1, 1, 1, 2, 6, 21, 1, 5, 1, 5, 726)]

Period length 21 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred ninety-three
Ordinal
131893rd
Binary
100000001100110101
Octal
401465
Hexadecimal
0x20335
Base64
AgM1
One's complement
4,294,835,402 (32-bit)
Scientific notation
1.31893 × 10⁵
As a duration
131,893 s = 1 day, 12 hours, 38 minutes, 13 seconds
In other bases
ternary (3) 20200220221
quaternary (4) 200030311
quinary (5) 13210033
senary (6) 2454341
septenary (7) 1056346
nonary (9) 220827
undecimal (11) 90103
duodecimal (12) 643b1
tridecimal (13) 48058
tetradecimal (14) 360cd
pentadecimal (15) 2912d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωϟγʹ
Mayan (base 20)
𝋰·𝋩·𝋮·𝋭
Chinese
一十三萬一千八百九十三
Chinese (financial)
壹拾參萬壹仟捌佰玖拾參
In other modern scripts
Eastern Arabic ١٣١٨٩٣ Devanagari १३१८९३ Bengali ১৩১৮৯৩ Tamil ௧௩௧௮௯௩ Thai ๑๓๑๘๙๓ Tibetan ༡༣༡༨༩༣ Khmer ១៣១៨៩៣ Lao ໑໓໑໘໙໓ Burmese ၁၃၁၈၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131891, sexy with 131899.

Unicode codepoint
𠌵
CJK Unified Ideograph-20335
U+20335
Other letter (Lo)

UTF-8 encoding: F0 A0 8C B5 (4 bytes).

Hex color
#020335
RGB(2, 3, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.53.

Address
0.2.3.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.53

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 131,893 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 131893 first appears in π at position 278,070 of the decimal expansion (the 278,070ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.