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132,833

132,833 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.).

132,833 (one hundred thirty-two thousand eight hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x206E1.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
432
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
338,231
Square (n²)
17,644,605,889
Cube (n³)
2,343,785,934,053,537
Divisor count
2
σ(n) — sum of divisors
132,834
φ(n) — Euler's totient
132,832

Primality

132,833 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132833
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,833)
1 × 132833
First multiples
132,833 · 265,666 (double) · 398,499 · 531,332 · 664,165 · 796,998 · 929,831 · 1,062,664 · 1,195,497 · 1,328,330

Sums & aliquot sequence

As a sum of two squares: 247² + 268²
As consecutive integers: 66,416 + 66,417

Continued fraction of √n

√132,833 = [364; (2, 6, 5, 3, 16, 1, 1, 1, 3, 3, 3, 6, 1, 2, 2, 2, 6, 1, 1, 1, 55, 2, 2, 1, …)]

Representations

In words
one hundred thirty-two thousand eight hundred thirty-three
Ordinal
132833rd
Binary
100000011011100001
Octal
403341
Hexadecimal
0x206E1
Base64
Agbh
One's complement
4,294,834,462 (32-bit)
Scientific notation
1.32833 × 10⁵
As a duration
132,833 s = 1 day, 12 hours, 53 minutes, 53 seconds
In other bases
ternary (3) 20202012202
quaternary (4) 200123201
quinary (5) 13222313
senary (6) 2502545
septenary (7) 1062161
nonary (9) 222182
undecimal (11) 90888
duodecimal (12) 64a55
tridecimal (13) 485cc
tetradecimal (14) 365a1
pentadecimal (15) 29558

As an angle

132,833° = 368 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλβωλγʹ
Mayan (base 20)
𝋰·𝋬·𝋡·𝋭
Chinese
一十三萬二千八百三十三
Chinese (financial)
壹拾參萬貳仟捌佰參拾參
In other modern scripts
Eastern Arabic ١٣٢٨٣٣ Devanagari १३२८३३ Bengali ১৩২৮৩৩ Tamil ௧௩௨௮௩௩ Thai ๑๓๒๘๓๓ Tibetan ༡༣༢༨༣༣ Khmer ១៣២៨៣៣ Lao ໑໓໒໘໓໓ Burmese ၁၃၂၈၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠛡
CJK Unified Ideograph-206E1
U+206E1
Other letter (Lo)

UTF-8 encoding: F0 A0 9B A1 (4 bytes).

Hex color
#0206E1
RGB(2, 6, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.225.

Address
0.2.6.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.225

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 132,833 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 132833 first appears in π at position 675,444 of the decimal expansion (the 675,444ordinal-suffix:th 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.