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132,523

132,523 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.).

132,523 (one hundred thirty-two thousand five hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x205AB.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
180
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
325,231
Square (n²)
17,562,345,529
Cube (n³)
2,327,414,716,539,667
Divisor count
2
σ(n) — sum of divisors
132,524
φ(n) — Euler's totient
132,522

Primality

132,523 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132523
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,523)
1 × 132523
First multiples
132,523 · 265,046 (double) · 397,569 · 530,092 · 662,615 · 795,138 · 927,661 · 1,060,184 · 1,192,707 · 1,325,230

Sums & aliquot sequence

As consecutive integers: 66,261 + 66,262

Continued fraction of √n

√132,523 = [364; (26, 1, 27, 25, 14, 4, 4, 4, 1, 1, 10, 3, 5, 2, 2, 3, 1, 2, 2, 2, 5, 1, 37, 2, …)]

Representations

In words
one hundred thirty-two thousand five hundred twenty-three
Ordinal
132523rd
Binary
100000010110101011
Octal
402653
Hexadecimal
0x205AB
Base64
AgWr
One's complement
4,294,834,772 (32-bit)
Scientific notation
1.32523 × 10⁵
As a duration
132,523 s = 1 day, 12 hours, 48 minutes, 43 seconds
In other bases
ternary (3) 20201210021
quaternary (4) 200112223
quinary (5) 13220043
senary (6) 2501311
septenary (7) 1061236
nonary (9) 221707
undecimal (11) 90626
duodecimal (12) 64837
tridecimal (13) 48421
tetradecimal (14) 3641d
pentadecimal (15) 293ed

As an angle

132,523° = 368 × 360° + 43°
43° ≈ 0.75 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλβφκγʹ
Mayan (base 20)
𝋰·𝋫·𝋦·𝋣
Chinese
一十三萬二千五百二十三
Chinese (financial)
壹拾參萬貳仟伍佰貳拾參
In other modern scripts
Eastern Arabic ١٣٢٥٢٣ Devanagari १३२५२३ Bengali ১৩২৫২৩ Tamil ௧௩௨௫௨௩ Thai ๑๓๒๕๒๓ Tibetan ༡༣༢༥༢༣ Khmer ១៣២៥២៣ Lao ໑໓໒໕໒໓ Burmese ၁၃၂၅၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 132527.

Unicode codepoint
𠖫
CJK Unified Ideograph-205Ab
U+205AB
Other letter (Lo)

UTF-8 encoding: F0 A0 96 AB (4 bytes).

Hex color
#0205AB
RGB(2, 5, 171)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.171.

Address
0.2.5.171
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.171

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 132,523 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 132523 first appears in π at position 862,386 of the decimal expansion (the 862,386ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.