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131,947

131,947 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.).

131,947 (one hundred thirty-one thousand nine hundred forty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2036B.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
756
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
749,131
Recamán's sequence
a(228,478) = 131,947
Square (n²)
17,410,010,809
Cube (n³)
2,297,198,696,215,123
Divisor count
2
σ(n) — sum of divisors
131,948
φ(n) — Euler's totient
131,946

Primality

131,947 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131947
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,947)
1 × 131947
First multiples
131,947 · 263,894 (double) · 395,841 · 527,788 · 659,735 · 791,682 · 923,629 · 1,055,576 · 1,187,523 · 1,319,470

Sums & aliquot sequence

As consecutive integers: 65,973 + 65,974

Continued fraction of √n

√131,947 = [363; (4, 12, 2, 55, 2, 2, 11, 7, 1, 1, 1, 3, 1, 1, 1, 4, 1, 4, 1, 1, 2, 34, 4, 1, …)]

Representations

In words
one hundred thirty-one thousand nine hundred forty-seven
Ordinal
131947th
Binary
100000001101101011
Octal
401553
Hexadecimal
0x2036B
Base64
AgNr
One's complement
4,294,835,348 (32-bit)
Scientific notation
1.31947 × 10⁵
As a duration
131,947 s = 1 day, 12 hours, 39 minutes, 7 seconds
In other bases
ternary (3) 20200222221
quaternary (4) 200031223
quinary (5) 13210242
senary (6) 2454511
septenary (7) 1056454
nonary (9) 220887
undecimal (11) 90152
duodecimal (12) 64437
tridecimal (13) 4809a
tetradecimal (14) 3612b
pentadecimal (15) 29167

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡμζʹ
Mayan (base 20)
𝋰·𝋩·𝋱·𝋧
Chinese
一十三萬一千九百四十七
Chinese (financial)
壹拾參萬壹仟玖佰肆拾柒
In other modern scripts
Eastern Arabic ١٣١٩٤٧ Devanagari १३१९४७ Bengali ১৩১৯৪৭ Tamil ௧௩௧௯௪௭ Thai ๑๓๑๙๔๗ Tibetan ༡༣༡༩༤༧ Khmer ១៣១៩៤៧ Lao ໑໓໑໙໔໗ Burmese ၁၃၁၉၄၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131941.

Unicode codepoint
𠍫
CJK Unified Ideograph-2036B
U+2036B
Other letter (Lo)

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

Hex color
#02036B
RGB(2, 3, 107)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.107.

Address
0.2.3.107
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.107

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 131,947 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 131947 first appears in π at position 651,977 of the decimal expansion (the 651,977ordinal-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.