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133,986

133,986 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.).

133,986 (one hundred thirty-three thousand nine hundred eighty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 137 × 163. Its proper divisors sum to 137,598, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B62.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
3,888
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
689,331
Square (n²)
17,952,248,196
Cube (n³)
2,405,349,926,789,256
Divisor count
16
σ(n) — sum of divisors
271,584
φ(n) — Euler's totient
44,064
Sum of prime factors
305

Primality

Prime factorization: 2 × 3 × 137 × 163

Nearest primes: 133,981 (−5) · 133,993 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 137 · 163 · 274 · 326 · 411 · 489 · 822 · 978 · 22331 · 44662 · 66993 (half) · 133986
Aliquot sum (sum of proper divisors): 137,598
Factor pairs (a × b = 133,986)
1 × 133986
2 × 66993
3 × 44662
6 × 22331
137 × 978
163 × 822
274 × 489
326 × 411
First multiples
133,986 · 267,972 (double) · 401,958 · 535,944 · 669,930 · 803,916 · 937,902 · 1,071,888 · 1,205,874 · 1,339,860

Sums & aliquot sequence

As consecutive integers: 44,661 + 44,662 + 44,663 33,495 + 33,496 + 33,497 + 33,498 11,160 + 11,161 + … + 11,171 910 + 911 + … + 1,046
Aliquot sequence: 133,986 137,598 173,442 177,630 264,738 264,750 397,938 425,742 425,754 672,486 830,874 982,086 1,302,714 2,004,486 2,422,650 3,791,238 5,332,602 — unresolved within range

Continued fraction of √n

√133,986 = [366; (24, 2, 2, 28, 1, 7, 2, 4, 2, 1, 1, 1, 5, 21, 2, 1, 4, 1, 2, 21, 5, 1, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred eighty-six
Ordinal
133986th
Binary
100000101101100010
Octal
405542
Hexadecimal
0x20B62
Base64
Agti
One's complement
4,294,833,309 (32-bit)
Scientific notation
1.33986 × 10⁵
As a duration
133,986 s = 1 day, 13 hours, 13 minutes, 6 seconds
In other bases
ternary (3) 20210210110
quaternary (4) 200231202
quinary (5) 13241421
senary (6) 2512150
septenary (7) 1065426
nonary (9) 223713
undecimal (11) 91736
duodecimal (12) 65656
tridecimal (13) 48ca8
tetradecimal (14) 36b86
pentadecimal (15) 29a76
Palindromic in base 12

As an angle

133,986° = 372 × 360° + 66°
66° ≈ 1.152 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡπϛʹ
Mayan (base 20)
𝋰·𝋮·𝋳·𝋦
Chinese
一十三萬三千九百八十六
Chinese (financial)
壹拾參萬參仟玖佰捌拾陸
In other modern scripts
Eastern Arabic ١٣٣٩٨٦ Devanagari १३३९८६ Bengali ১৩৩৯৮৬ Tamil ௧௩௩௯௮௬ Thai ๑๓๓๙๘๖ Tibetan ༡༣༣༩༨༦ Khmer ១៣៣៩៨៦ Lao ໑໓໓໙໘໖ Burmese ၁၃၃၉၈၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133986, here are decompositions:

  • 5 + 133981 = 133986
  • 7 + 133979 = 133986
  • 19 + 133967 = 133986
  • 23 + 133963 = 133986
  • 37 + 133949 = 133986
  • 67 + 133919 = 133986
  • 109 + 133877 = 133986
  • 113 + 133873 = 133986

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭢
CJK Unified Ideograph-20B62
U+20B62
Other letter (Lo)

UTF-8 encoding: F0 A0 AD A2 (4 bytes).

Hex color
#020B62
RGB(2, 11, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.98.

Address
0.2.11.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.98

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 133,986 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 133986 first appears in π at position 284,259 of the decimal expansion (the 284,259ordinal-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°.