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131,743

131,743 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.).

131,743 (one hundred thirty-one thousand seven hundred forty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2029F.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
252
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
347,131
Recamán's sequence
a(228,886) = 131,743
Square (n²)
17,356,218,049
Cube (n³)
2,286,560,234,429,407
Divisor count
2
σ(n) — sum of divisors
131,744
φ(n) — Euler's totient
131,742

Primality

131,743 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131743
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,743)
1 × 131743
First multiples
131,743 · 263,486 (double) · 395,229 · 526,972 · 658,715 · 790,458 · 922,201 · 1,053,944 · 1,185,687 · 1,317,430

Sums & aliquot sequence

As consecutive integers: 65,871 + 65,872

Continued fraction of √n

√131,743 = [362; (1, 26, 1, 11, 1, 3, 2, 1, 2, 6, 18, 1, 17, 1, 1, 1, 120, 3, 18, 3, 1, 1, 3, 1, …)]

Representations

In words
one hundred thirty-one thousand seven hundred forty-three
Ordinal
131743rd
Binary
100000001010011111
Octal
401237
Hexadecimal
0x2029F
Base64
AgKf
One's complement
4,294,835,552 (32-bit)
Scientific notation
1.31743 × 10⁵
As a duration
131,743 s = 1 day, 12 hours, 35 minutes, 43 seconds
In other bases
ternary (3) 20200201101
quaternary (4) 200022133
quinary (5) 13203433
senary (6) 2453531
septenary (7) 1056043
nonary (9) 220641
undecimal (11) 8aa87
duodecimal (12) 642a7
tridecimal (13) 47c71
tetradecimal (14) 36023
pentadecimal (15) 2907d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψμγʹ
Mayan (base 20)
𝋰·𝋩·𝋧·𝋣
Chinese
一十三萬一千七百四十三
Chinese (financial)
壹拾參萬壹仟柒佰肆拾參
In other modern scripts
Eastern Arabic ١٣١٧٤٣ Devanagari १३१७४३ Bengali ১৩১৭৪৩ Tamil ௧௩௧௭௪௩ Thai ๑๓๑๗๔๓ Tibetan ༡༣༡༧༤༣ Khmer ១៣១៧៤៣ Lao ໑໓໑໗໔໓ Burmese ၁၃၁၇၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131749.

Unicode codepoint
𠊟
CJK Unified Ideograph-2029F
U+2029F
Other letter (Lo)

UTF-8 encoding: F0 A0 8A 9F (4 bytes).

Hex color
#02029F
RGB(2, 2, 159)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.159.

Address
0.2.2.159
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.159

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 131,743 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 131743 first appears in π at position 799,344 of the decimal expansion (the 799,344ordinal-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.