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133,518

133,518 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.).

133,518 (one hundred thirty-three thousand five hundred eighteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 7 × 11 × 17². Its proper divisors sum to 220,146, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2098E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
360
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
815,331
Square (n²)
17,827,056,324
Cube (n³)
2,380,232,906,267,832
Divisor count
48
σ(n) — sum of divisors
353,664
φ(n) — Euler's totient
32,640
Sum of prime factors
57

Primality

Prime factorization: 2 × 3 × 7 × 11 × 17 2

Nearest primes: 133,499 (−19) · 133,519 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 7 · 11 · 14 · 17 · 21 · 22 · 33 · 34 · 42 · 51 · 66 · 77 · 102 · 119 · 154 · 187 · 231 · 238 · 289 · 357 · 374 · 462 · 561 · 578 · 714 · 867 · 1122 · 1309 · 1734 · 2023 · 2618 · 3179 · 3927 · 4046 · 6069 · 6358 · 7854 · 9537 · 12138 · 19074 · 22253 · 44506 · 66759 (half) · 133518
Aliquot sum (sum of proper divisors): 220,146
Factor pairs (a × b = 133,518)
1 × 133518
2 × 66759
3 × 44506
6 × 22253
7 × 19074
11 × 12138
14 × 9537
17 × 7854
21 × 6358
22 × 6069
33 × 4046
34 × 3927
42 × 3179
51 × 2618
66 × 2023
77 × 1734
102 × 1309
119 × 1122
154 × 867
187 × 714
231 × 578
238 × 561
289 × 462
357 × 374
First multiples
133,518 · 267,036 (double) · 400,554 · 534,072 · 667,590 · 801,108 · 934,626 · 1,068,144 · 1,201,662 · 1,335,180

Sums & aliquot sequence

As consecutive integers: 44,505 + 44,506 + 44,507 33,378 + 33,379 + 33,380 + 33,381 19,071 + 19,072 + … + 19,077 12,133 + 12,134 + … + 12,143
Aliquot sequence: 133,518 220,146 220,158 278,250 530,454 538,026 538,038 646,938 770,790 1,079,178 1,097,238 1,192,938 1,192,950 2,317,986 3,410,334 3,978,762 3,978,774 — unresolved within range

Continued fraction of √n

√133,518 = [365; (2, 2, 34, 2, 2, 730)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred eighteen
Ordinal
133518th
Binary
100000100110001110
Octal
404616
Hexadecimal
0x2098E
Base64
AgmO
One's complement
4,294,833,777 (32-bit)
Scientific notation
1.33518 × 10⁵
As a duration
133,518 s = 1 day, 13 hours, 5 minutes, 18 seconds
In other bases
ternary (3) 20210011010
quaternary (4) 200212032
quinary (5) 13233033
senary (6) 2510050
septenary (7) 1064160
nonary (9) 223133
undecimal (11) 91350
duodecimal (12) 65326
tridecimal (13) 48a08
tetradecimal (14) 36930
pentadecimal (15) 29863

As an angle

133,518° = 370 × 360° + 318°
318° ≈ 5.55 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφιηʹ
Mayan (base 20)
𝋰·𝋭·𝋯·𝋲
Chinese
一十三萬三千五百一十八
Chinese (financial)
壹拾參萬參仟伍佰壹拾捌
In other modern scripts
Eastern Arabic ١٣٣٥١٨ Devanagari १३३५१८ Bengali ১৩৩৫১৮ Tamil ௧௩௩௫௧௮ Thai ๑๓๓๕๑๘ Tibetan ༡༣༣༥༡༨ Khmer ១៣៣៥១៨ Lao ໑໓໓໕໑໘ Burmese ၁၃၃၅၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133518, here are decompositions:

  • 19 + 133499 = 133518
  • 37 + 133481 = 133518
  • 67 + 133451 = 133518
  • 71 + 133447 = 133518
  • 79 + 133439 = 133518
  • 101 + 133417 = 133518
  • 127 + 133391 = 133518
  • 131 + 133387 = 133518

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦎
CJK Unified Ideograph-2098E
U+2098E
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 8E (4 bytes).

Hex color
#02098E
RGB(2, 9, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.142.

Address
0.2.9.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.142

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 133,518 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 133518 first appears in π at position 85,285 of the decimal expansion (the 85,285ordinal-suffix:th 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°.