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133,232

133,232 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.).

133,232 (one hundred thirty-three thousand two hundred thirty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 757. Its proper divisors sum to 148,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20870.

Abundant Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
108
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
232,331
Square (n²)
17,750,765,824
Cube (n³)
2,364,970,032,263,168
Divisor count
20
σ(n) — sum of divisors
281,976
φ(n) — Euler's totient
60,480
Sum of prime factors
776

Primality

Prime factorization: 2 4 × 11 × 757

Nearest primes: 133,213 (−19) · 133,241 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 757 · 1514 · 3028 · 6056 · 8327 · 12112 · 16654 · 33308 · 66616 (half) · 133232
Aliquot sum (sum of proper divisors): 148,744
Factor pairs (a × b = 133,232)
1 × 133232
2 × 66616
4 × 33308
8 × 16654
11 × 12112
16 × 8327
22 × 6056
44 × 3028
88 × 1514
176 × 757
First multiples
133,232 · 266,464 (double) · 399,696 · 532,928 · 666,160 · 799,392 · 932,624 · 1,065,856 · 1,199,088 · 1,332,320

Sums & aliquot sequence

As consecutive integers: 12,107 + 12,108 + … + 12,117 4,148 + 4,149 + … + 4,179 203 + 204 + … + 554
Aliquot sequence: 133,232 148,744 130,166 70,474 36,374 22,426 11,216 10,546 5,276 3,964 2,980 3,320 4,240 5,804 4,360 5,540 6,136 — unresolved within range

Continued fraction of √n

√133,232 = [365; (104, 3, 2, 14, 2, 7, 1, 2, 1, 1, 3, 1, 1, 2, 1, 7, 2, 14, 2, 3, 104, 730)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred thirty-two
Ordinal
133232nd
Binary
100000100001110000
Octal
404160
Hexadecimal
0x20870
Base64
Aghw
One's complement
4,294,834,063 (32-bit)
Scientific notation
1.33232 × 10⁵
As a duration
133,232 s = 1 day, 13 hours, 32 seconds
In other bases
ternary (3) 20202202112
quaternary (4) 200201300
quinary (5) 13230412
senary (6) 2504452
septenary (7) 1063301
nonary (9) 222675
undecimal (11) 91110
duodecimal (12) 65128
tridecimal (13) 48848
tetradecimal (14) 367a8
pentadecimal (15) 29722

As an angle

133,232° = 370 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγσλβʹ
Mayan (base 20)
𝋰·𝋭·𝋡·𝋬
Chinese
一十三萬三千二百三十二
Chinese (financial)
壹拾參萬參仟貳佰參拾貳
In other modern scripts
Eastern Arabic ١٣٣٢٣٢ Devanagari १३३२३२ Bengali ১৩৩২৩২ Tamil ௧௩௩௨௩௨ Thai ๑๓๓๒๓๒ Tibetan ༡༣༣༢༣༢ Khmer ១៣៣២៣២ Lao ໑໓໓໒໓໒ Burmese ၁၃၃၂၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133232, here are decompositions:

  • 19 + 133213 = 133232
  • 31 + 133201 = 133232
  • 79 + 133153 = 133232
  • 163 + 133069 = 133232
  • 181 + 133051 = 133232
  • 193 + 133039 = 133232
  • 199 + 133033 = 133232
  • 271 + 132961 = 133232

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡰
CJK Unified Ideograph-20870
U+20870
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 B0 (4 bytes).

Hex color
#020870
RGB(2, 8, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.112.

Address
0.2.8.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.112

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 133,232 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 133232 first appears in π at position 552,820 of the decimal expansion (the 552,820ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.