number.wiki
Live analysis

133,332

133,332 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.).

133,332 (one hundred thirty-three thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 41 × 271. Its proper divisors sum to 186,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208D4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
162
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
233,331
Recamán's sequence
a(35,324) = 133,332
Square (n²)
17,777,422,224
Cube (n³)
2,370,299,259,970,368
Divisor count
24
σ(n) — sum of divisors
319,872
φ(n) — Euler's totient
43,200
Sum of prime factors
319

Primality

Prime factorization: 2 2 × 3 × 41 × 271

Nearest primes: 133,327 (−5) · 133,337 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 41 · 82 · 123 · 164 · 246 · 271 · 492 · 542 · 813 · 1084 · 1626 · 3252 · 11111 · 22222 · 33333 · 44444 · 66666 (half) · 133332
Aliquot sum (sum of proper divisors): 186,540
Factor pairs (a × b = 133,332)
1 × 133332
2 × 66666
3 × 44444
4 × 33333
6 × 22222
12 × 11111
41 × 3252
82 × 1626
123 × 1084
164 × 813
246 × 542
271 × 492
First multiples
133,332 · 266,664 (double) · 399,996 · 533,328 · 666,660 · 799,992 · 933,324 · 1,066,656 · 1,199,988 · 1,333,320

Sums & aliquot sequence

As consecutive integers: 44,443 + 44,444 + 44,445 16,663 + 16,664 + … + 16,670 5,544 + 5,545 + … + 5,567 3,232 + 3,233 + … + 3,272
Aliquot sequence: 133,332 186,540 335,940 692,220 1,283,460 2,310,396 3,834,372 5,169,084 7,064,004 9,418,700 11,251,852 8,872,868 6,800,524 5,573,684 4,516,816 4,285,076 3,213,814 — unresolved within range

Continued fraction of √n

√133,332 = [365; (6, 1, 4, 1, 2, 12, 2, 5, 1, 1, 4, 19, 1, 1, 13, 1, 4, 5, 1, 2, 5, 4, 2, 45, …)]

Representations

In words
one hundred thirty-three thousand three hundred thirty-two
Ordinal
133332nd
Binary
100000100011010100
Octal
404324
Hexadecimal
0x208D4
Base64
AgjU
One's complement
4,294,833,963 (32-bit)
Scientific notation
1.33332 × 10⁵
As a duration
133,332 s = 1 day, 13 hours, 2 minutes, 12 seconds
In other bases
ternary (3) 20202220020
quaternary (4) 200203110
quinary (5) 13231312
senary (6) 2505140
septenary (7) 1063503
nonary (9) 222806
undecimal (11) 911a1
duodecimal (12) 651b0
tridecimal (13) 488c4
tetradecimal (14) 3683a
pentadecimal (15) 2978c

As an angle

133,332° = 370 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτλβʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋬
Chinese
一十三萬三千三百三十二
Chinese (financial)
壹拾參萬參仟參佰參拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٣٢ Devanagari १३३३३२ Bengali ১৩৩৩৩২ Tamil ௧௩௩௩௩௨ Thai ๑๓๓๓๓๒ Tibetan ༡༣༣༣༣༢ Khmer ១៣៣៣៣២ Lao ໑໓໓໓໓໒ Burmese ၁၃၃၃၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133332, here are decompositions:

  • 5 + 133327 = 133332
  • 11 + 133321 = 133332
  • 13 + 133319 = 133332
  • 29 + 133303 = 133332
  • 53 + 133279 = 133332
  • 61 + 133271 = 133332
  • 71 + 133261 = 133332
  • 79 + 133253 = 133332

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣔
CJK Unified Ideograph-208D4
U+208D4
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 94 (4 bytes).

Hex color
#0208D4
RGB(2, 8, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.212.

Address
0.2.8.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.212

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 133,332 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 133332 first appears in π at position 214,251 of the decimal expansion (the 214,251ordinal-suffix:st 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°.