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133,630

133,630 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.).

133,630 (one hundred thirty-three thousand six hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 23 × 83. Its proper divisors sum to 156,674, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209FE.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
36,331
Square (n²)
17,856,976,900
Cube (n³)
2,386,227,823,147,000
Divisor count
32
σ(n) — sum of divisors
290,304
φ(n) — Euler's totient
43,296
Sum of prime factors
120

Primality

Prime factorization: 2 × 5 × 7 × 23 × 83

Nearest primes: 133,597 (−33) · 133,631 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 14 · 23 · 35 · 46 · 70 · 83 · 115 · 161 · 166 · 230 · 322 · 415 · 581 · 805 · 830 · 1162 · 1610 · 1909 · 2905 · 3818 · 5810 · 9545 · 13363 · 19090 · 26726 · 66815 (half) · 133630
Aliquot sum (sum of proper divisors): 156,674
Factor pairs (a × b = 133,630)
1 × 133630
2 × 66815
5 × 26726
7 × 19090
10 × 13363
14 × 9545
23 × 5810
35 × 3818
46 × 2905
70 × 1909
83 × 1610
115 × 1162
161 × 830
166 × 805
230 × 581
322 × 415
First multiples
133,630 · 267,260 (double) · 400,890 · 534,520 · 668,150 · 801,780 · 935,410 · 1,069,040 · 1,202,670 · 1,336,300

Sums & aliquot sequence

As consecutive integers: 33,406 + 33,407 + 33,408 + 33,409 26,724 + 26,725 + 26,726 + 26,727 + 26,728 19,087 + 19,088 + … + 19,093 6,672 + 6,673 + … + 6,691
Aliquot sequence: 133,630 156,674 135,934 67,970 71,998 36,002 19,294 12,314 6,694 3,350 2,974 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√133,630 = [365; (1, 1, 4, 10, 4, 1, 1, 730)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred thirty
Ordinal
133630th
Binary
100000100111111110
Octal
404776
Hexadecimal
0x209FE
Base64
Agn+
One's complement
4,294,833,665 (32-bit)
Scientific notation
1.3363 × 10⁵
As a duration
133,630 s = 1 day, 13 hours, 7 minutes, 10 seconds
In other bases
ternary (3) 20210022021
quaternary (4) 200213332
quinary (5) 13234010
senary (6) 2510354
septenary (7) 1064410
nonary (9) 223267
undecimal (11) 91442
duodecimal (12) 653ba
tridecimal (13) 48a93
tetradecimal (14) 369b0
pentadecimal (15) 298da

As an angle

133,630° = 371 × 360° + 70°
70° ≈ 1.222 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλγχλʹ
Mayan (base 20)
𝋰·𝋮·𝋡·𝋪
Chinese
一十三萬三千六百三十
Chinese (financial)
壹拾參萬參仟陸佰參拾
In other modern scripts
Eastern Arabic ١٣٣٦٣٠ Devanagari १३३६३० Bengali ১৩৩৬৩০ Tamil ௧௩௩௬௩௦ Thai ๑๓๓๖๓๐ Tibetan ༡༣༣༦༣༠ Khmer ១៣៣៦៣០ Lao ໑໓໓໖໓໐ Burmese ၁၃၃၆၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133630, here are decompositions:

  • 47 + 133583 = 133630
  • 59 + 133571 = 133630
  • 71 + 133559 = 133630
  • 89 + 133541 = 133630
  • 131 + 133499 = 133630
  • 137 + 133493 = 133630
  • 149 + 133481 = 133630
  • 179 + 133451 = 133630

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧾
CJK Unified Ideograph-209Fe
U+209FE
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 BE (4 bytes).

Hex color
#0209FE
RGB(2, 9, 254)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.254.

Address
0.2.9.254
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.254

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 133,630 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