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132,726

132,726 is a composite number, even.

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.).

132,726 (one hundred thirty-two thousand seven hundred twenty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 2,011. Its proper divisors sum to 157,002, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20676.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
504
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
627,231
Square (n²)
17,616,191,076
Cube (n³)
2,338,126,576,753,176
Divisor count
16
σ(n) — sum of divisors
289,728
φ(n) — Euler's totient
40,200
Sum of prime factors
2,027

Primality

Prime factorization: 2 × 3 × 11 × 2011

Nearest primes: 132,721 (−5) · 132,739 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 2011 · 4022 · 6033 · 12066 · 22121 · 44242 · 66363 (half) · 132726
Aliquot sum (sum of proper divisors): 157,002
Factor pairs (a × b = 132,726)
1 × 132726
2 × 66363
3 × 44242
6 × 22121
11 × 12066
22 × 6033
33 × 4022
66 × 2011
First multiples
132,726 · 265,452 (double) · 398,178 · 530,904 · 663,630 · 796,356 · 929,082 · 1,061,808 · 1,194,534 · 1,327,260

Sums & aliquot sequence

As consecutive integers: 44,241 + 44,242 + 44,243 33,180 + 33,181 + 33,182 + 33,183 12,061 + 12,062 + … + 12,071 11,055 + 11,056 + … + 11,066
Aliquot sequence: 132,726 157,002 160,950 263,130 475,590 685,626 694,374 767,706 767,718 1,201,194 1,401,432 2,102,208 3,460,392 6,635,148 10,038,180 18,214,044 24,285,420 — unresolved within range

Continued fraction of √n

√132,726 = [364; (3, 6, 364, 6, 3, 728)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred twenty-six
Ordinal
132726th
Binary
100000011001110110
Octal
403166
Hexadecimal
0x20676
Base64
AgZ2
One's complement
4,294,834,569 (32-bit)
Scientific notation
1.32726 × 10⁵
As a duration
132,726 s = 1 day, 12 hours, 52 minutes, 6 seconds
In other bases
ternary (3) 20202001210
quaternary (4) 200121312
quinary (5) 13221401
senary (6) 2502250
septenary (7) 1061646
nonary (9) 222053
undecimal (11) 907a0
duodecimal (12) 64986
tridecimal (13) 48549
tetradecimal (14) 36526
pentadecimal (15) 294d6

As an angle

132,726° = 368 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψκϛʹ
Mayan (base 20)
𝋰·𝋫·𝋰·𝋦
Chinese
一十三萬二千七百二十六
Chinese (financial)
壹拾參萬貳仟柒佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٢٧٢٦ Devanagari १३२७२६ Bengali ১৩২৭২৬ Tamil ௧௩௨௭௨௬ Thai ๑๓๒๗๒๖ Tibetan ༡༣༢༧༢༦ Khmer ១៣២៧២៦ Lao ໑໓໒໗໒໖ Burmese ၁၃၂၇၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132726, here are decompositions:

  • 5 + 132721 = 132726
  • 17 + 132709 = 132726
  • 19 + 132707 = 132726
  • 29 + 132697 = 132726
  • 37 + 132689 = 132726
  • 47 + 132679 = 132726
  • 59 + 132667 = 132726
  • 79 + 132647 = 132726

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙶
CJK Unified Ideograph-20676
U+20676
Other letter (Lo)

UTF-8 encoding: F0 A0 99 B6 (4 bytes).

Hex color
#020676
RGB(2, 6, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.118.

Address
0.2.6.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.118

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 132,726 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 132726 first appears in π at position 500,166 of the decimal expansion (the 500,166ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.