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132,822

132,822 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.).

132,822 (one hundred thirty-two thousand eight hundred twenty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 47 × 157. Its proper divisors sum to 162,954, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206D6.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
228,231
Square (n²)
17,641,683,684
Cube (n³)
2,343,203,710,276,248
Divisor count
24
σ(n) — sum of divisors
295,776
φ(n) — Euler's totient
43,056
Sum of prime factors
212

Primality

Prime factorization: 2 × 3 2 × 47 × 157

Nearest primes: 132,817 (−5) · 132,833 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 47 · 94 · 141 · 157 · 282 · 314 · 423 · 471 · 846 · 942 · 1413 · 2826 · 7379 · 14758 · 22137 · 44274 · 66411 (half) · 132822
Aliquot sum (sum of proper divisors): 162,954
Factor pairs (a × b = 132,822)
1 × 132822
2 × 66411
3 × 44274
6 × 22137
9 × 14758
18 × 7379
47 × 2826
94 × 1413
141 × 942
157 × 846
282 × 471
314 × 423
First multiples
132,822 · 265,644 (double) · 398,466 · 531,288 · 664,110 · 796,932 · 929,754 · 1,062,576 · 1,195,398 · 1,328,220

Sums & aliquot sequence

As consecutive integers: 44,273 + 44,274 + 44,275 33,204 + 33,205 + 33,206 + 33,207 14,754 + 14,755 + … + 14,762 11,063 + 11,064 + … + 11,074
Aliquot sequence: 132,822 162,954 222,678 268,722 313,548 502,932 670,604 609,724 462,900 877,292 776,164 604,824 1,123,176 1,740,984 3,370,056 5,055,144 7,582,776 — unresolved within range

Continued fraction of √n

√132,822 = [364; (2, 4, 3, 1, 3, 1, 1, 1, 1, 26, 2, 1, 1, 2, 2, 6, 2, 5, 3, 8, 1, 2, 5, 1, …)]

Representations

In words
one hundred thirty-two thousand eight hundred twenty-two
Ordinal
132822nd
Binary
100000011011010110
Octal
403326
Hexadecimal
0x206D6
Base64
AgbW
One's complement
4,294,834,473 (32-bit)
Scientific notation
1.32822 × 10⁵
As a duration
132,822 s = 1 day, 12 hours, 53 minutes, 42 seconds
In other bases
ternary (3) 20202012100
quaternary (4) 200123112
quinary (5) 13222242
senary (6) 2502530
septenary (7) 1062144
nonary (9) 222170
undecimal (11) 90878
duodecimal (12) 64a46
tridecimal (13) 485c1
tetradecimal (14) 36594
pentadecimal (15) 2954c
Palindromic in base 12

As an angle

132,822° = 368 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβωκβʹ
Mayan (base 20)
𝋰·𝋬·𝋡·𝋢
Chinese
一十三萬二千八百二十二
Chinese (financial)
壹拾參萬貳仟捌佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٢٨٢٢ Devanagari १३२८२२ Bengali ১৩২৮২২ Tamil ௧௩௨௮௨௨ Thai ๑๓๒๘๒๒ Tibetan ༡༣༢༨༢༢ Khmer ១៣២៨២២ Lao ໑໓໒໘໒໒ Burmese ၁၃၂၈၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132822, here are decompositions:

  • 5 + 132817 = 132822
  • 59 + 132763 = 132822
  • 61 + 132761 = 132822
  • 71 + 132751 = 132822
  • 73 + 132749 = 132822
  • 83 + 132739 = 132822
  • 101 + 132721 = 132822
  • 113 + 132709 = 132822

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛖
CJK Unified Ideograph-206D6
U+206D6
Other letter (Lo)

UTF-8 encoding: F0 A0 9B 96 (4 bytes).

Hex color
#0206D6
RGB(2, 6, 214)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.214.

Address
0.2.6.214
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.214

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 132,822 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 132822 first appears in π at position 278,573 of the decimal expansion (the 278,573ordinal-suffix:rd 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°.