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133,372

133,372 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.).

133,372 (one hundred thirty-three thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,343. Written other ways, in hexadecimal, 0x208FC.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
378
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
273,331
Recamán's sequence
a(35,404) = 133,372
Square (n²)
17,788,090,384
Cube (n³)
2,372,433,190,694,848
Divisor count
6
σ(n) — sum of divisors
233,408
φ(n) — Euler's totient
66,684
Sum of prime factors
33,347

Primality

Prime factorization: 2 2 × 33343

Nearest primes: 133,351 (−21) · 133,379 (+7)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33343 · 66686 (half) · 133372
Aliquot sum (sum of proper divisors): 100,036
Factor pairs (a × b = 133,372)
1 × 133372
2 × 66686
4 × 33343
First multiples
133,372 · 266,744 (double) · 400,116 · 533,488 · 666,860 · 800,232 · 933,604 · 1,066,976 · 1,200,348 · 1,333,720

Sums & aliquot sequence

As consecutive integers: 16,668 + 16,669 + … + 16,675
Aliquot sequence: 133,372 100,036 77,624 73,096 63,974 35,386 21,818 10,912 13,280 18,472 16,178 8,092 9,100 15,204 25,564 30,884 30,940 — unresolved within range

Continued fraction of √n

√133,372 = [365; (4, 1, 29, 1, 1, 1, 2, 1, 2, 19, 1, 11, 1, 6, 3, 4, 4, 1, 1, 2, 1, 8, 3, 2, …)]

Representations

In words
one hundred thirty-three thousand three hundred seventy-two
Ordinal
133372nd
Binary
100000100011111100
Octal
404374
Hexadecimal
0x208FC
Base64
Agj8
One's complement
4,294,833,923 (32-bit)
Scientific notation
1.33372 × 10⁵
As a duration
133,372 s = 1 day, 13 hours, 2 minutes, 52 seconds
In other bases
ternary (3) 20202221201
quaternary (4) 200203330
quinary (5) 13231442
senary (6) 2505244
septenary (7) 1063561
nonary (9) 222851
undecimal (11) 91228
duodecimal (12) 65224
tridecimal (13) 48925
tetradecimal (14) 36868
pentadecimal (15) 297b7

As an angle

133,372° = 370 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτοβʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋬
Chinese
一十三萬三千三百七十二
Chinese (financial)
壹拾參萬參仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٧٢ Devanagari १३३३७२ Bengali ১৩৩৩৭২ Tamil ௧௩௩௩௭௨ Thai ๑๓๓๓๗๒ Tibetan ༡༣༣༣༧༢ Khmer ១៣៣៣៧២ Lao ໑໓໓໓໗໒ Burmese ၁၃၃၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133372, here are decompositions:

  • 23 + 133349 = 133372
  • 53 + 133319 = 133372
  • 89 + 133283 = 133372
  • 101 + 133271 = 133372
  • 131 + 133241 = 133372
  • 251 + 133121 = 133372
  • 263 + 133109 = 133372
  • 269 + 133103 = 133372

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣼
CJK Unified Ideograph-208Fc
U+208FC
Other letter (Lo)

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

Hex color
#0208FC
RGB(2, 8, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.252.

Address
0.2.8.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.252

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 133,372 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading