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133,182

133,182 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.).

133,182 (one hundred thirty-three thousand one hundred eighty-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2 × 3² × 7² × 151. Its proper divisors sum to 204,714, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2083E.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
281,331
Square (n²)
17,737,445,124
Cube (n³)
2,362,308,416,504,568
Divisor count
36
σ(n) — sum of divisors
337,896
φ(n) — Euler's totient
37,800
Sum of prime factors
173

Primality

Prime factorization: 2 × 3 2 × 7 2 × 151

Nearest primes: 133,169 (−13) · 133,183 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 49 · 63 · 98 · 126 · 147 · 151 · 294 · 302 · 441 · 453 · 882 · 906 · 1057 · 1359 · 2114 · 2718 · 3171 · 6342 · 7399 · 9513 · 14798 · 19026 · 22197 · 44394 · 66591 (half) · 133182
Aliquot sum (sum of proper divisors): 204,714
Factor pairs (a × b = 133,182)
1 × 133182
2 × 66591
3 × 44394
6 × 22197
7 × 19026
9 × 14798
14 × 9513
18 × 7399
21 × 6342
42 × 3171
49 × 2718
63 × 2114
98 × 1359
126 × 1057
147 × 906
151 × 882
294 × 453
302 × 441
First multiples
133,182 · 266,364 (double) · 399,546 · 532,728 · 665,910 · 799,092 · 932,274 · 1,065,456 · 1,198,638 · 1,331,820

Sums & aliquot sequence

As consecutive integers: 44,393 + 44,394 + 44,395 33,294 + 33,295 + 33,296 + 33,297 19,023 + 19,024 + … + 19,029 14,794 + 14,795 + … + 14,802
Aliquot sequence: 133,182 204,714 279,126 346,686 346,698 529,398 617,670 988,506 1,153,296 2,074,734 2,594,562 2,848,638 3,400,962 3,759,198 3,759,210 9,449,622 16,651,530 — unresolved within range

Continued fraction of √n

√133,182 = [364; (1, 15, 1, 39, 1, 1, 1, 1, 4, 1, 1, 80, 1, 1, 4, 1, 1, 1, 1, 39, 1, 15, 1, 728)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred eighty-two
Ordinal
133182nd
Binary
100000100000111110
Octal
404076
Hexadecimal
0x2083E
Base64
Agg+
One's complement
4,294,834,113 (32-bit)
Scientific notation
1.33182 × 10⁵
As a duration
133,182 s = 1 day, 12 hours, 59 minutes, 42 seconds
In other bases
ternary (3) 20202200200
quaternary (4) 200200332
quinary (5) 13230212
senary (6) 2504330
septenary (7) 1063200
nonary (9) 222620
undecimal (11) 91075
duodecimal (12) 650a6
tridecimal (13) 4880a
tetradecimal (14) 36770
pentadecimal (15) 296dc

As an angle

133,182° = 369 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγρπβʹ
Mayan (base 20)
𝋰·𝋬·𝋳·𝋢
Chinese
一十三萬三千一百八十二
Chinese (financial)
壹拾參萬參仟壹佰捌拾貳
In other modern scripts
Eastern Arabic ١٣٣١٨٢ Devanagari १३३१८२ Bengali ১৩৩১৮২ Tamil ௧௩௩௧௮௨ Thai ๑๓๓๑๘๒ Tibetan ༡༣༣༡༨༢ Khmer ១៣៣១៨២ Lao ໑໓໓໑໘໒ Burmese ၁၃၃၁၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133182, here are decompositions:

  • 13 + 133169 = 133182
  • 29 + 133153 = 133182
  • 61 + 133121 = 133182
  • 73 + 133109 = 133182
  • 79 + 133103 = 133182
  • 109 + 133073 = 133182
  • 113 + 133069 = 133182
  • 131 + 133051 = 133182

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠾
CJK Unified Ideograph-2083E
U+2083E
Other letter (Lo)

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

Hex color
#02083E
RGB(2, 8, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.62.

Address
0.2.8.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.62

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 133,182 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°.