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133,086

133,086 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.).

133,086 (one hundred thirty-three thousand eighty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 41 × 541. Its proper divisors sum to 140,082, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207DE.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
680,331
Square (n²)
17,711,883,396
Cube (n³)
2,357,203,713,640,056
Divisor count
16
σ(n) — sum of divisors
273,168
φ(n) — Euler's totient
43,200
Sum of prime factors
587

Primality

Prime factorization: 2 × 3 × 41 × 541

Nearest primes: 133,073 (−13) · 133,087 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 41 · 82 · 123 · 246 · 541 · 1082 · 1623 · 3246 · 22181 · 44362 · 66543 (half) · 133086
Aliquot sum (sum of proper divisors): 140,082
Factor pairs (a × b = 133,086)
1 × 133086
2 × 66543
3 × 44362
6 × 22181
41 × 3246
82 × 1623
123 × 1082
246 × 541
First multiples
133,086 · 266,172 (double) · 399,258 · 532,344 · 665,430 · 798,516 · 931,602 · 1,064,688 · 1,197,774 · 1,330,860

Sums & aliquot sequence

As consecutive integers: 44,361 + 44,362 + 44,363 33,270 + 33,271 + 33,272 + 33,273 11,085 + 11,086 + … + 11,096 3,226 + 3,227 + … + 3,266
Aliquot sequence: 133,086 140,082 148,110 207,426 211,902 211,914 257,178 257,190 360,138 366,198 470,922 470,934 709,506 1,093,374 1,527,426 1,782,036 2,804,364 — unresolved within range

Continued fraction of √n

√133,086 = [364; (1, 4, 3, 1, 145, 6, 5, 1, 2, 28, 1, 4, 1, 28, 2, 1, 5, 6, 145, 1, 3, 4, 1, 728)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eighty-six
Ordinal
133086th
Binary
100000011111011110
Octal
403736
Hexadecimal
0x207DE
Base64
Agfe
One's complement
4,294,834,209 (32-bit)
Scientific notation
1.33086 × 10⁵
As a duration
133,086 s = 1 day, 12 hours, 58 minutes, 6 seconds
In other bases
ternary (3) 20202120010
quaternary (4) 200133132
quinary (5) 13224321
senary (6) 2504050
septenary (7) 1063002
nonary (9) 222503
undecimal (11) 90a98
duodecimal (12) 65026
tridecimal (13) 48765
tetradecimal (14) 36702
pentadecimal (15) 29676

As an angle

133,086° = 369 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγπϛʹ
Mayan (base 20)
𝋰·𝋬·𝋮·𝋦
Chinese
一十三萬三千零八十六
Chinese (financial)
壹拾參萬參仟零捌拾陸
In other modern scripts
Eastern Arabic ١٣٣٠٨٦ Devanagari १३३०८६ Bengali ১৩৩০৮৬ Tamil ௧௩௩௦௮௬ Thai ๑๓๓๐๘๖ Tibetan ༡༣༣༠༨༦ Khmer ១៣៣០៨៦ Lao ໑໓໓໐໘໖ Burmese ၁၃၃၀၈၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133086, here are decompositions:

  • 13 + 133073 = 133086
  • 17 + 133069 = 133086
  • 47 + 133039 = 133086
  • 53 + 133033 = 133086
  • 73 + 133013 = 133086
  • 97 + 132989 = 133086
  • 137 + 132949 = 133086
  • 139 + 132947 = 133086

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟞
CJK Unified Ideograph-207De
U+207DE
Other letter (Lo)

UTF-8 encoding: F0 A0 9F 9E (4 bytes).

Hex color
#0207DE
RGB(2, 7, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.222.

Address
0.2.7.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.222

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 133,086 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 133086 first appears in π at position 217,719 of the decimal expansion (the 217,719ordinal-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°.