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133,170

133,170 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.).

133,170 (one hundred thirty-three thousand one hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 23 × 193. Its proper divisors sum to 202,062, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20832.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
71,331
Square (n²)
17,734,248,900
Cube (n³)
2,361,669,926,013,000
Divisor count
32
σ(n) — sum of divisors
335,232
φ(n) — Euler's totient
33,792
Sum of prime factors
226

Primality

Prime factorization: 2 × 3 × 5 × 23 × 193

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

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 23 · 30 · 46 · 69 · 115 · 138 · 193 · 230 · 345 · 386 · 579 · 690 · 965 · 1158 · 1930 · 2895 · 4439 · 5790 · 8878 · 13317 · 22195 · 26634 · 44390 · 66585 (half) · 133170
Aliquot sum (sum of proper divisors): 202,062
Factor pairs (a × b = 133,170)
1 × 133170
2 × 66585
3 × 44390
5 × 26634
6 × 22195
10 × 13317
15 × 8878
23 × 5790
30 × 4439
46 × 2895
69 × 1930
115 × 1158
138 × 965
193 × 690
230 × 579
345 × 386
First multiples
133,170 · 266,340 (double) · 399,510 · 532,680 · 665,850 · 799,020 · 932,190 · 1,065,360 · 1,198,530 · 1,331,700

Sums & aliquot sequence

As consecutive integers: 44,389 + 44,390 + 44,391 33,291 + 33,292 + 33,293 + 33,294 26,632 + 26,633 + 26,634 + 26,635 + 26,636 11,092 + 11,093 + … + 11,103
Aliquot sequence: 133,170 202,062 288,690 404,238 414,402 414,414 843,570 1,882,062 3,278,898 5,010,318 6,140,250 10,469,070 17,077,410 33,668,766 39,418,794 50,946,390 93,558,906 — unresolved within range

Continued fraction of √n

√133,170 = [364; (1, 12, 3, 1, 2, 5, 1, 2, 51, 1, 3, 1, 1, 4, 3, 1, 1, 1, 1, 22, 1, 13, 1, 14, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred seventy
Ordinal
133170th
Binary
100000100000110010
Octal
404062
Hexadecimal
0x20832
Base64
Aggy
One's complement
4,294,834,125 (32-bit)
Scientific notation
1.3317 × 10⁵
As a duration
133,170 s = 1 day, 12 hours, 59 minutes, 30 seconds
In other bases
ternary (3) 20202200020
quaternary (4) 200200302
quinary (5) 13230140
senary (6) 2504310
septenary (7) 1063152
nonary (9) 222606
undecimal (11) 91064
duodecimal (12) 65096
tridecimal (13) 487cb
tetradecimal (14) 36762
pentadecimal (15) 296d0

As an angle

133,170° = 369 × 360° + 330°
330° ≈ 5.76 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγροʹ
Mayan (base 20)
𝋰·𝋬·𝋲·𝋪
Chinese
一十三萬三千一百七十
Chinese (financial)
壹拾參萬參仟壹佰柒拾
In other modern scripts
Eastern Arabic ١٣٣١٧٠ Devanagari १३३१७० Bengali ১৩৩১৭০ Tamil ௧௩௩௧௭௦ Thai ๑๓๓๑๗๐ Tibetan ༡༣༣༡༧༠ Khmer ១៣៣១៧០ Lao ໑໓໓໑໗໐ Burmese ၁၃၃၁၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133170, here are decompositions:

  • 13 + 133157 = 133170
  • 17 + 133153 = 133170
  • 53 + 133117 = 133170
  • 61 + 133109 = 133170
  • 67 + 133103 = 133170
  • 73 + 133097 = 133170
  • 83 + 133087 = 133170
  • 97 + 133073 = 133170

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠲
CJK Unified Ideograph-20832
U+20832
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 B2 (4 bytes).

Hex color
#020832
RGB(2, 8, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.50.

Address
0.2.8.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.50

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 133,170 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 133170 first appears in π at position 320,843 of the decimal expansion (the 320,843ordinal-suffix:rd 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°.