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133,302

133,302 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.).

133,302 (one hundred thirty-three thousand three hundred two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 1,709. Its proper divisors sum to 153,978, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208B6.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
203,331
Recamán's sequence
a(35,264) = 133,302
Square (n²)
17,769,423,204
Cube (n³)
2,368,699,651,939,608
Divisor count
16
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
40,992
Sum of prime factors
1,727

Primality

Prime factorization: 2 × 3 × 13 × 1709

Nearest primes: 133,283 (−19) · 133,303 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 1709 · 3418 · 5127 · 10254 · 22217 · 44434 · 66651 (half) · 133302
Aliquot sum (sum of proper divisors): 153,978
Factor pairs (a × b = 133,302)
1 × 133302
2 × 66651
3 × 44434
6 × 22217
13 × 10254
26 × 5127
39 × 3418
78 × 1709
First multiples
133,302 · 266,604 (double) · 399,906 · 533,208 · 666,510 · 799,812 · 933,114 · 1,066,416 · 1,199,718 · 1,333,020

Sums & aliquot sequence

As consecutive integers: 44,433 + 44,434 + 44,435 33,324 + 33,325 + 33,326 + 33,327 11,103 + 11,104 + … + 11,114 10,248 + 10,249 + … + 10,260
Aliquot sequence: 133,302 153,978 182,118 186,522 239,910 389,082 430,278 430,290 850,158 1,019,970 2,012,670 4,052,610 6,777,846 7,907,526 10,783,458 17,543,646 20,576,514 — unresolved within range

Continued fraction of √n

√133,302 = [365; (9, 2, 13, 3, 3, 2, 3, 1, 1, 2, 1, 2, 1, 1, 1, 4, 1, 1, 1, 1, 1, 2, 5, 14, …)]

Representations

In words
one hundred thirty-three thousand three hundred two
Ordinal
133302nd
Binary
100000100010110110
Octal
404266
Hexadecimal
0x208B6
Base64
Agi2
One's complement
4,294,833,993 (32-bit)
Scientific notation
1.33302 × 10⁵
As a duration
133,302 s = 1 day, 13 hours, 1 minute, 42 seconds
In other bases
ternary (3) 20202212010
quaternary (4) 200202312
quinary (5) 13231202
senary (6) 2505050
septenary (7) 1063431
nonary (9) 222763
undecimal (11) 91174
duodecimal (12) 65186
tridecimal (13) 488a0
tetradecimal (14) 36818
pentadecimal (15) 2976c

As an angle

133,302° = 370 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρλγτβʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋢
Chinese
一十三萬三千三百零二
Chinese (financial)
壹拾參萬參仟參佰零貳
In other modern scripts
Eastern Arabic ١٣٣٣٠٢ Devanagari १३३३०२ Bengali ১৩৩৩০২ Tamil ௧௩௩௩௦௨ Thai ๑๓๓๓๐๒ Tibetan ༡༣༣༣༠༢ Khmer ១៣៣៣០២ Lao ໑໓໓໓໐໒ Burmese ၁၃၃၃၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133302, here are decompositions:

  • 19 + 133283 = 133302
  • 23 + 133279 = 133302
  • 31 + 133271 = 133302
  • 41 + 133261 = 133302
  • 61 + 133241 = 133302
  • 89 + 133213 = 133302
  • 101 + 133201 = 133302
  • 149 + 133153 = 133302

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢶
CJK Unified Ideograph-208B6
U+208B6
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 B6 (4 bytes).

Hex color
#0208B6
RGB(2, 8, 182)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.182.

Address
0.2.8.182
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.182

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 133,302 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 133302 first appears in π at position 506,134 of the decimal expansion (the 506,134ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.