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131,671

131,671 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.).

131,671 (one hundred thirty-one thousand six hundred seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20257.

Arithmetic Number Centered Hexagonal Chen Prime Cuban Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
126
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
176,131
Recamán's sequence
a(229,030) = 131,671
Square (n²)
17,337,252,241
Cube (n³)
2,282,813,339,824,711
Divisor count
2
σ(n) — sum of divisors
131,672
φ(n) — Euler's totient
131,670

Primality

131,671 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131671
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,671)
1 × 131671
First multiples
131,671 · 263,342 (double) · 395,013 · 526,684 · 658,355 · 790,026 · 921,697 · 1,053,368 · 1,185,039 · 1,316,710

Sums & aliquot sequence

As consecutive integers: 65,835 + 65,836

Continued fraction of √n

√131,671 = [362; (1, 6, 2, 2, 5, 2, 47, 1, 12, 4, 1, 1, 1, 2, 1, 8, 1, 2, 3, 21, 1, 2, 3, 1, …)]

Representations

In words
one hundred thirty-one thousand six hundred seventy-one
Ordinal
131671st
Binary
100000001001010111
Octal
401127
Hexadecimal
0x20257
Base64
AgJX
One's complement
4,294,835,624 (32-bit)
Scientific notation
1.31671 × 10⁵
As a duration
131,671 s = 1 day, 12 hours, 34 minutes, 31 seconds
In other bases
ternary (3) 20200121201
quaternary (4) 200021113
quinary (5) 13203141
senary (6) 2453331
septenary (7) 1055611
nonary (9) 220551
undecimal (11) 8aa21
duodecimal (12) 64247
tridecimal (13) 47c17
tetradecimal (14) 35db1
pentadecimal (15) 29031

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαχοαʹ
Mayan (base 20)
𝋰·𝋩·𝋣·𝋫
Chinese
一十三萬一千六百七十一
Chinese (financial)
壹拾參萬壹仟陸佰柒拾壹
In other modern scripts
Eastern Arabic ١٣١٦٧١ Devanagari १३१६७१ Bengali ১৩১৬৭১ Tamil ௧௩௧௬௭௧ Thai ๑๓๑๖๗๑ Tibetan ༡༣༡༦༧༡ Khmer ១៣១៦៧១ Lao ໑໓໑໖໗໑ Burmese ၁၃၁၆၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠉗
CJK Unified Ideograph-20257
U+20257
Other letter (Lo)

UTF-8 encoding: F0 A0 89 97 (4 bytes).

Hex color
#020257
RGB(2, 2, 87)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.87.

Address
0.2.2.87
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.87

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 131,671 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.