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132,772

132,772 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.).

132,772 (one hundred thirty-two thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 19 × 1,747. Written other ways, in hexadecimal, 0x206A4.

Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
588
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
277,231
Square (n²)
17,628,403,984
Cube (n³)
2,340,558,453,763,648
Divisor count
12
σ(n) — sum of divisors
244,720
φ(n) — Euler's totient
62,856
Sum of prime factors
1,770

Primality

Prime factorization: 2 2 × 19 × 1747

Nearest primes: 132,763 (−9) · 132,817 (+45)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 19 · 38 · 76 · 1747 · 3494 · 6988 · 33193 · 66386 (half) · 132772
Aliquot sum (sum of proper divisors): 111,948
Factor pairs (a × b = 132,772)
1 × 132772
2 × 66386
4 × 33193
19 × 6988
38 × 3494
76 × 1747
First multiples
132,772 · 265,544 (double) · 398,316 · 531,088 · 663,860 · 796,632 · 929,404 · 1,062,176 · 1,194,948 · 1,327,720

Sums & aliquot sequence

As consecutive integers: 16,593 + 16,594 + … + 16,600 6,979 + 6,980 + … + 6,997 798 + 799 + … + 949
Aliquot sequence: 132,772 111,948 163,572 228,204 363,716 281,404 211,060 242,036 181,534 93,146 46,576 47,168 56,464 52,966 27,818 19,894 16,106 — unresolved within range

Continued fraction of √n

√132,772 = [364; (2, 1, 1, 1, 3, 2, 1, 3, 1, 42, 12, 3, 22, 2, 4, 2, 3, 2, 1, 8, 3, 3, 9, 1, …)]

Representations

In words
one hundred thirty-two thousand seven hundred seventy-two
Ordinal
132772nd
Binary
100000011010100100
Octal
403244
Hexadecimal
0x206A4
Base64
Agak
One's complement
4,294,834,523 (32-bit)
Scientific notation
1.32772 × 10⁵
As a duration
132,772 s = 1 day, 12 hours, 52 minutes, 52 seconds
In other bases
ternary (3) 20202010111
quaternary (4) 200122210
quinary (5) 13222042
senary (6) 2502404
septenary (7) 1062043
nonary (9) 222114
undecimal (11) 90832
duodecimal (12) 64a04
tridecimal (13) 48583
tetradecimal (14) 3655a
pentadecimal (15) 29517

As an angle

132,772° = 368 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβψοβʹ
Mayan (base 20)
𝋰·𝋫·𝋲·𝋬
Chinese
一十三萬二千七百七十二
Chinese (financial)
壹拾參萬貳仟柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٢٧٧٢ Devanagari १३२७७२ Bengali ১৩২৭৭২ Tamil ௧௩௨௭௭௨ Thai ๑๓๒๗๗๒ Tibetan ༡༣༢༧༧༢ Khmer ១៣២៧៧២ Lao ໑໓໒໗໗໒ Burmese ၁၃၂၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132772, here are decompositions:

  • 11 + 132761 = 132772
  • 23 + 132749 = 132772
  • 71 + 132701 = 132772
  • 83 + 132689 = 132772
  • 149 + 132623 = 132772
  • 239 + 132533 = 132772
  • 281 + 132491 = 132772
  • 389 + 132383 = 132772

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚤
CJK Unified Ideograph-206A4
U+206A4
Other letter (Lo)

UTF-8 encoding: F0 A0 9A A4 (4 bytes).

Hex color
#0206A4
RGB(2, 6, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.164.

Address
0.2.6.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.164

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 132,772 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 132772 first appears in π at position 447,262 of the decimal expansion (the 447,262ordinal-suffix:nd 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