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132,893

132,893 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.).

132,893 (one hundred thirty-two thousand eight hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2071D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,296
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
398,231
Square (n²)
17,660,549,449
Cube (n³)
2,346,963,397,925,957
Divisor count
2
σ(n) — sum of divisors
132,894
φ(n) — Euler's totient
132,892

Primality

132,893 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132893
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,893)
1 × 132893
First multiples
132,893 · 265,786 (double) · 398,679 · 531,572 · 664,465 · 797,358 · 930,251 · 1,063,144 · 1,196,037 · 1,328,930

Sums & aliquot sequence

As a sum of two squares: 43² + 362²
As consecutive integers: 66,446 + 66,447

Continued fraction of √n

√132,893 = [364; (1, 1, 5, 15, 3, 42, 1, 1, 3, 1, 1, 3, 4, 1, 1, 1, 4, 1, 1, 1, 1, 37, 1, 3, …)]

Representations

In words
one hundred thirty-two thousand eight hundred ninety-three
Ordinal
132893rd
Binary
100000011100011101
Octal
403435
Hexadecimal
0x2071D
Base64
Agcd
One's complement
4,294,834,402 (32-bit)
Scientific notation
1.32893 × 10⁵
As a duration
132,893 s = 1 day, 12 hours, 54 minutes, 53 seconds
In other bases
ternary (3) 20202021222
quaternary (4) 200130131
quinary (5) 13223033
senary (6) 2503125
septenary (7) 1062305
nonary (9) 222258
undecimal (11) 90932
duodecimal (12) 64aa5
tridecimal (13) 48647
tetradecimal (14) 36605
pentadecimal (15) 29598

As an angle

132,893° = 369 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλβωϟγʹ
Mayan (base 20)
𝋰·𝋬·𝋤·𝋭
Chinese
一十三萬二千八百九十三
Chinese (financial)
壹拾參萬貳仟捌佰玖拾參
In other modern scripts
Eastern Arabic ١٣٢٨٩٣ Devanagari १३२८९३ Bengali ১৩২৮৯৩ Tamil ௧௩௨௮௯௩ Thai ๑๓๒๘๙๓ Tibetan ༡༣༢༨༩༣ Khmer ១៣២៨៩៣ Lao ໑໓໒໘໙໓ Burmese ၁၃၂၈၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 132887.

Unicode codepoint
𠜝
CJK Unified Ideograph-2071D
U+2071D
Other letter (Lo)

UTF-8 encoding: F0 A0 9C 9D (4 bytes).

Hex color
#02071D
RGB(2, 7, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.29.

Address
0.2.7.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.29

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 132,893 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 132893 first appears in π at position 199,784 of the decimal expansion (the 199,784ordinal-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.