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131,437

131,437 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.).

131,437 (one hundred thirty-one thousand four hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2016D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence 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
734,131
Recamán's sequence
a(229,498) = 131,437
Square (n²)
17,275,684,969
Cube (n³)
2,270,664,205,270,453
Divisor count
2
σ(n) — sum of divisors
131,438
φ(n) — Euler's totient
131,436

Primality

131,437 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131437
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,437)
1 × 131437
First multiples
131,437 · 262,874 (double) · 394,311 · 525,748 · 657,185 · 788,622 · 920,059 · 1,051,496 · 1,182,933 · 1,314,370

Sums & aliquot sequence

As a sum of two squares: 141² + 334²
As consecutive integers: 65,718 + 65,719

Continued fraction of √n

√131,437 = [362; (1, 1, 5, 2, 1, 1, 6, 1, 7, 2, 6, 1, 5, 1, 5, 1, 1, 3, 1, 1, 21, 2, 2, 3, …)]

Representations

In words
one hundred thirty-one thousand four hundred thirty-seven
Ordinal
131437th
Binary
100000000101101101
Octal
400555
Hexadecimal
0x2016D
Base64
AgFt
One's complement
4,294,835,858 (32-bit)
Scientific notation
1.31437 × 10⁵
As a duration
131,437 s = 1 day, 12 hours, 30 minutes, 37 seconds
In other bases
ternary (3) 20200022001
quaternary (4) 200011231
quinary (5) 13201222
senary (6) 2452301
septenary (7) 1055125
nonary (9) 220261
undecimal (11) 8a829
duodecimal (12) 64091
tridecimal (13) 47a97
tetradecimal (14) 35c85
pentadecimal (15) 28e27

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαυλζʹ
Mayan (base 20)
𝋰·𝋨·𝋫·𝋱
Chinese
一十三萬一千四百三十七
Chinese (financial)
壹拾參萬壹仟肆佰參拾柒
In other modern scripts
Eastern Arabic ١٣١٤٣٧ Devanagari १३१४३७ Bengali ১৩১৪৩৭ Tamil ௧௩௧௪௩௭ Thai ๑๓๑๔๓๗ Tibetan ༡༣༡༤༣༧ Khmer ១៣១៤៣៧ Lao ໑໓໑໔໓໗ Burmese ၁၃၁၄၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 131441, sexy with 131431.

Unicode codepoint
𠅭
CJK Unified Ideograph-2016D
U+2016D
Other letter (Lo)

UTF-8 encoding: F0 A0 85 AD (4 bytes).

Hex color
#02016D
RGB(2, 1, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.109.

Address
0.2.1.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.109

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 131,437 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 131437 first appears in π at position 322,203 of the decimal expansion (the 322,203ordinal-suffix:rd 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.