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131,627

131,627 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.).

131,627 (one hundred thirty-one thousand six hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2022B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
726,131
Recamán's sequence
a(229,118) = 131,627
Square (n²)
17,325,667,129
Cube (n³)
2,280,525,587,188,883
Divisor count
2
σ(n) — sum of divisors
131,628
φ(n) — Euler's totient
131,626

Primality

131,627 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131627
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,627)
1 × 131627
First multiples
131,627 · 263,254 (double) · 394,881 · 526,508 · 658,135 · 789,762 · 921,389 · 1,053,016 · 1,184,643 · 1,316,270

Sums & aliquot sequence

As consecutive integers: 65,813 + 65,814

Continued fraction of √n

√131,627 = [362; (1, 4, 8, 1, 65, 13, 1, 2, 12, 5, 1, 10, 1, 6, 1, 1, 3, 2, 1, 7, 1, 2, 1, 6, …)]

Representations

In words
one hundred thirty-one thousand six hundred twenty-seven
Ordinal
131627th
Binary
100000001000101011
Octal
401053
Hexadecimal
0x2022B
Base64
AgIr
One's complement
4,294,835,668 (32-bit)
Scientific notation
1.31627 × 10⁵
As a duration
131,627 s = 1 day, 12 hours, 33 minutes, 47 seconds
In other bases
ternary (3) 20200120002
quaternary (4) 200020223
quinary (5) 13203002
senary (6) 2453215
septenary (7) 1055516
nonary (9) 220502
undecimal (11) 8a991
duodecimal (12) 6420b
tridecimal (13) 47bb2
tetradecimal (14) 35d7d
pentadecimal (15) 29002

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαχκζʹ
Mayan (base 20)
𝋰·𝋩·𝋡·𝋧
Chinese
一十三萬一千六百二十七
Chinese (financial)
壹拾參萬壹仟陸佰貳拾柒
In other modern scripts
Eastern Arabic ١٣١٦٢٧ Devanagari १३१६२७ Bengali ১৩১৬২৭ Tamil ௧௩௧௬௨௭ Thai ๑๓๑๖๒๗ Tibetan ༡༣༡༦༢༧ Khmer ១៣១៦២៧ Lao ໑໓໑໖໒໗ Burmese ၁၃၁၆၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠈫
CJK Unified Ideograph-2022B
U+2022B
Other letter (Lo)

UTF-8 encoding: F0 A0 88 AB (4 bytes).

Hex color
#02022B
RGB(2, 2, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.43.

Address
0.2.2.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.43

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 131,627 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 131627 first appears in π at position 952,133 of the decimal expansion (the 952,133ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.