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132,761

132,761 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.).

132,761 (one hundred thirty-two thousand seven hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20699.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
167,231
Square (n²)
17,625,483,121
Cube (n³)
2,339,976,764,627,081
Divisor count
2
σ(n) — sum of divisors
132,762
φ(n) — Euler's totient
132,760

Primality

132,761 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132761
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,761)
1 × 132761
First multiples
132,761 · 265,522 (double) · 398,283 · 531,044 · 663,805 · 796,566 · 929,327 · 1,062,088 · 1,194,849 · 1,327,610

Sums & aliquot sequence

As a sum of two squares: 131² + 340²
As consecutive integers: 66,380 + 66,381

Continued fraction of √n

√132,761 = [364; (2, 1, 2, 1, 42, 7, 5, 4, 1, 1, 1, 2, 2, 90, 1, 2, 28, 1, 4, 2, 1, 1, 4, 1, …)]

Representations

In words
one hundred thirty-two thousand seven hundred sixty-one
Ordinal
132761st
Binary
100000011010011001
Octal
403231
Hexadecimal
0x20699
Base64
AgaZ
One's complement
4,294,834,534 (32-bit)
Scientific notation
1.32761 × 10⁵
As a duration
132,761 s = 1 day, 12 hours, 52 minutes, 41 seconds
In other bases
ternary (3) 20202010002
quaternary (4) 200122121
quinary (5) 13222021
senary (6) 2502345
septenary (7) 1062026
nonary (9) 222102
undecimal (11) 90822
duodecimal (12) 649b5
tridecimal (13) 48575
tetradecimal (14) 3654d
pentadecimal (15) 2950b

As an angle

132,761° = 368 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλβψξαʹ
Mayan (base 20)
𝋰·𝋫·𝋲·𝋡
Chinese
一十三萬二千七百六十一
Chinese (financial)
壹拾參萬貳仟柒佰陸拾壹
In other modern scripts
Eastern Arabic ١٣٢٧٦١ Devanagari १३२७६१ Bengali ১৩২৭৬১ Tamil ௧௩௨௭௬௧ Thai ๑๓๒๗๖๑ Tibetan ༡༣༢༧༦༡ Khmer ១៣២៧៦១ Lao ໑໓໒໗໖໑ Burmese ၁၃၂၇၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 132763, cousin with 132757.

Unicode codepoint
𠚙
CJK Unified Ideograph-20699
U+20699
Other letter (Lo)

UTF-8 encoding: F0 A0 9A 99 (4 bytes).

Hex color
#020699
RGB(2, 6, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.153.

Address
0.2.6.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.153

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 132,761 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.