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131,543

131,543 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.).

131,543 (one hundred thirty-one thousand five 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, 0x201D7.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
345,131
Recamán's sequence
a(229,286) = 131,543
Square (n²)
17,303,560,849
Cube (n³)
2,276,162,304,760,007
Divisor count
2
σ(n) — sum of divisors
131,544
φ(n) — Euler's totient
131,542

Primality

131,543 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131543
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,543)
1 × 131543
First multiples
131,543 · 263,086 (double) · 394,629 · 526,172 · 657,715 · 789,258 · 920,801 · 1,052,344 · 1,183,887 · 1,315,430

Sums & aliquot sequence

As consecutive integers: 65,771 + 65,772

Continued fraction of √n

√131,543 = [362; (1, 2, 4, 1, 2, 1, 4, 1, 37, 2, 1, 5, 3, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand five hundred forty-three
Ordinal
131543rd
Binary
100000000111010111
Octal
400727
Hexadecimal
0x201D7
Base64
AgHX
One's complement
4,294,835,752 (32-bit)
Scientific notation
1.31543 × 10⁵
As a duration
131,543 s = 1 day, 12 hours, 32 minutes, 23 seconds
In other bases
ternary (3) 20200102222
quaternary (4) 200013113
quinary (5) 13202133
senary (6) 2452555
septenary (7) 1055336
nonary (9) 220388
undecimal (11) 8a915
duodecimal (12) 6415b
tridecimal (13) 47b49
tetradecimal (14) 35d1d
pentadecimal (15) 28e98

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλαφμγʹ
Mayan (base 20)
𝋰·𝋨·𝋱·𝋣
Chinese
一十三萬一千五百四十三
Chinese (financial)
壹拾參萬壹仟伍佰肆拾參
In other modern scripts
Eastern Arabic ١٣١٥٤٣ Devanagari १३१५४३ Bengali ১৩১৫৪৩ Tamil ௧௩௧௫௪௩ Thai ๑๓๑๕๔๓ Tibetan ༡༣༡༥༤༣ Khmer ១៣១៥៤៣ Lao ໑໓໑໕໔໓ Burmese ၁၃၁၅၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠇗
CJK Unified Ideograph-201D7
U+201D7
Other letter (Lo)

UTF-8 encoding: F0 A0 87 97 (4 bytes).

Hex color
#0201D7
RGB(2, 1, 215)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.215.

Address
0.2.1.215
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.215

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 131,543 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 131543 first appears in π at position 145,352 of the decimal expansion (the 145,352ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.