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133,308

133,308 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.).

133,308 (one hundred thirty-three thousand three hundred eight) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 3² × 7 × 23². Its proper divisors sum to 269,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208BC.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
803,331
Recamán's sequence
a(35,276) = 133,308
Square (n²)
17,771,022,864
Cube (n³)
2,369,019,515,954,112
Divisor count
54
σ(n) — sum of divisors
402,584
φ(n) — Euler's totient
36,432
Sum of prime factors
63

Primality

Prime factorization: 2 2 × 3 2 × 7 × 23 2

Nearest primes: 133,303 (−5) · 133,319 (+11)

Divisors & multiples

All divisors (54)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 23 · 28 · 36 · 42 · 46 · 63 · 69 · 84 · 92 · 126 · 138 · 161 · 207 · 252 · 276 · 322 · 414 · 483 · 529 · 644 · 828 · 966 · 1058 · 1449 · 1587 · 1932 · 2116 · 2898 · 3174 · 3703 · 4761 · 5796 · 6348 · 7406 · 9522 · 11109 · 14812 · 19044 · 22218 · 33327 · 44436 · 66654 (half) · 133308
Aliquot sum (sum of proper divisors): 269,276
Factor pairs (a × b = 133,308)
1 × 133308
2 × 66654
3 × 44436
4 × 33327
6 × 22218
7 × 19044
9 × 14812
12 × 11109
14 × 9522
18 × 7406
21 × 6348
23 × 5796
28 × 4761
36 × 3703
42 × 3174
46 × 2898
63 × 2116
69 × 1932
84 × 1587
92 × 1449
126 × 1058
138 × 966
161 × 828
207 × 644
252 × 529
276 × 483
322 × 414
First multiples
133,308 · 266,616 (double) · 399,924 · 533,232 · 666,540 · 799,848 · 933,156 · 1,066,464 · 1,199,772 · 1,333,080

Sums & aliquot sequence

As consecutive integers: 44,435 + 44,436 + 44,437 19,041 + 19,042 + … + 19,047 16,660 + 16,661 + … + 16,667 14,808 + 14,809 + … + 14,816
Aliquot sequence: 133,308 269,276 281,764 302,876 325,444 339,836 355,684 355,740 917,868 1,590,932 1,648,150 2,074,826 1,276,858 833,606 482,674 241,340 312,052 — unresolved within range

Continued fraction of √n

√133,308 = [365; (8, 1, 3, 1, 10, 1, 3, 1, 8, 730)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred eight
Ordinal
133308th
Binary
100000100010111100
Octal
404274
Hexadecimal
0x208BC
Base64
Agi8
One's complement
4,294,833,987 (32-bit)
Scientific notation
1.33308 × 10⁵
As a duration
133,308 s = 1 day, 13 hours, 1 minute, 48 seconds
In other bases
ternary (3) 20202212100
quaternary (4) 200202330
quinary (5) 13231213
senary (6) 2505100
septenary (7) 1063440
nonary (9) 222770
undecimal (11) 9117a
duodecimal (12) 65190
tridecimal (13) 488a6
tetradecimal (14) 36820
pentadecimal (15) 29773

As an angle

133,308° = 370 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτηʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋨
Chinese
一十三萬三千三百零八
Chinese (financial)
壹拾參萬參仟參佰零捌
In other modern scripts
Eastern Arabic ١٣٣٣٠٨ Devanagari १३३३०८ Bengali ১৩৩৩০৮ Tamil ௧௩௩௩௦௮ Thai ๑๓๓๓๐๘ Tibetan ༡༣༣༣༠༨ Khmer ១៣៣៣០៨ Lao ໑໓໓໓໐໘ Burmese ၁၃၃၃၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133308, here are decompositions:

  • 5 + 133303 = 133308
  • 29 + 133279 = 133308
  • 31 + 133277 = 133308
  • 37 + 133271 = 133308
  • 47 + 133261 = 133308
  • 67 + 133241 = 133308
  • 107 + 133201 = 133308
  • 139 + 133169 = 133308

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢼
CJK Unified Ideograph-208Bc
U+208BC
Other letter (Lo)

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

Hex color
#0208BC
RGB(2, 8, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.188.

Address
0.2.8.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.188

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 133,308 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

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