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133,304

133,304 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.).

133,304 (one hundred thirty-three thousand three hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 19 × 877. Written other ways, in hexadecimal, 0x208B8.

Deficient Number Evil Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
403,331
Recamán's sequence
a(35,268) = 133,304
Square (n²)
17,769,956,416
Cube (n³)
2,368,806,270,078,464
Divisor count
16
σ(n) — sum of divisors
263,400
φ(n) — Euler's totient
63,072
Sum of prime factors
902

Primality

Prime factorization: 2 3 × 19 × 877

Nearest primes: 133,303 (−1) · 133,319 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 19 · 38 · 76 · 152 · 877 · 1754 · 3508 · 7016 · 16663 · 33326 · 66652 (half) · 133304
Aliquot sum (sum of proper divisors): 130,096
Factor pairs (a × b = 133,304)
1 × 133304
2 × 66652
4 × 33326
8 × 16663
19 × 7016
38 × 3508
76 × 1754
152 × 877
First multiples
133,304 · 266,608 (double) · 399,912 · 533,216 · 666,520 · 799,824 · 933,128 · 1,066,432 · 1,199,736 · 1,333,040

Sums & aliquot sequence

As consecutive integers: 8,324 + 8,325 + … + 8,339 7,007 + 7,008 + … + 7,025 287 + 288 + … + 590
Aliquot sequence: 133,304 130,096 128,816 126,376 110,594 72,148 61,664 65,344 64,450 55,520 76,024 90,296 79,024 88,376 77,344 74,990 60,010 — unresolved within range

Continued fraction of √n

√133,304 = [365; (9, 4, 7, 2, 3, 1, 9, 1, 1, 28, 1, 2, 5, 1, 22, 1, 2, 2, 17, 1, 4, 1, 4, 9, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred four
Ordinal
133304th
Binary
100000100010111000
Octal
404270
Hexadecimal
0x208B8
Base64
Agi4
One's complement
4,294,833,991 (32-bit)
Scientific notation
1.33304 × 10⁵
As a duration
133,304 s = 1 day, 13 hours, 1 minute, 44 seconds
In other bases
ternary (3) 20202212012
quaternary (4) 200202320
quinary (5) 13231204
senary (6) 2505052
septenary (7) 1063433
nonary (9) 222765
undecimal (11) 91176
duodecimal (12) 65188
tridecimal (13) 488a2
tetradecimal (14) 3681a
pentadecimal (15) 2976e
Palindromic in base 6

As an angle

133,304° = 370 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτδʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋤
Chinese
一十三萬三千三百零四
Chinese (financial)
壹拾參萬參仟參佰零肆
In other modern scripts
Eastern Arabic ١٣٣٣٠٤ Devanagari १३३३०४ Bengali ১৩৩৩০৪ Tamil ௧௩௩௩௦௪ Thai ๑๓๓๓๐๔ Tibetan ༡༣༣༣༠༤ Khmer ១៣៣៣០៤ Lao ໑໓໓໓໐໔ Burmese ၁၃၃၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133304, here are decompositions:

  • 43 + 133261 = 133304
  • 103 + 133201 = 133304
  • 151 + 133153 = 133304
  • 271 + 133033 = 133304
  • 337 + 132967 = 133304
  • 487 + 132817 = 133304
  • 541 + 132763 = 133304
  • 547 + 132757 = 133304

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢸
CJK Unified Ideograph-208B8
U+208B8
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 B8 (4 bytes).

Hex color
#0208B8
RGB(2, 8, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.184.

Address
0.2.8.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.184

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 133,304 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

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