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131,941

131,941 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.).

131,941 (one hundred thirty-one thousand nine hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20365.

Arithmetic Number Cube-Free Deficient Number Happy 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
19
Digit product
108
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
149,131
Recamán's sequence
a(228,490) = 131,941
Square (n²)
17,408,427,481
Cube (n³)
2,296,885,330,270,621
Divisor count
2
σ(n) — sum of divisors
131,942
φ(n) — Euler's totient
131,940

Primality

131,941 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131941
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,941)
1 × 131941
First multiples
131,941 · 263,882 (double) · 395,823 · 527,764 · 659,705 · 791,646 · 923,587 · 1,055,528 · 1,187,469 · 1,319,410

Sums & aliquot sequence

As a sum of two squares: 170² + 321²
As consecutive integers: 65,970 + 65,971

Continued fraction of √n

√131,941 = [363; (4, 4, 2, 144, 1, 5, 1, 1, 4, 2, 1, 28, 2, 1, 2, 2, 2, 4, 1, 2, 1, 5, 13, 1, …)]

Representations

In words
one hundred thirty-one thousand nine hundred forty-one
Ordinal
131941st
Binary
100000001101100101
Octal
401545
Hexadecimal
0x20365
Base64
AgNl
One's complement
4,294,835,354 (32-bit)
Scientific notation
1.31941 × 10⁵
As a duration
131,941 s = 1 day, 12 hours, 39 minutes, 1 second
In other bases
ternary (3) 20200222201
quaternary (4) 200031211
quinary (5) 13210231
senary (6) 2454501
septenary (7) 1056445
nonary (9) 220881
undecimal (11) 90147
duodecimal (12) 64431
tridecimal (13) 48094
tetradecimal (14) 36125
pentadecimal (15) 29161

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαϡμαʹ
Mayan (base 20)
𝋰·𝋩·𝋱·𝋡
Chinese
一十三萬一千九百四十一
Chinese (financial)
壹拾參萬壹仟玖佰肆拾壹
In other modern scripts
Eastern Arabic ١٣١٩٤١ Devanagari १३१९४१ Bengali ১৩১৯৪১ Tamil ௧௩௧௯௪௧ Thai ๑๓๑๙๔๑ Tibetan ༡༣༡༩༤༡ Khmer ១៣១៩៤១ Lao ໑໓໑໙໔໑ Burmese ၁၃၁၉၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131939, sexy with 131947.

Unicode codepoint
𠍥
CJK Unified Ideograph-20365
U+20365
Other letter (Lo)

UTF-8 encoding: F0 A0 8D A5 (4 bytes).

Hex color
#020365
RGB(2, 3, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.101.

Address
0.2.3.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.101

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 131,941 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 131941 first appears in π at position 253,982 of the decimal expansion (the 253,982ordinal-suffix:nd 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.