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133,866

133,866 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.).

133,866 (one hundred thirty-three thousand eight hundred sixty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 37 × 67. Its proper divisors sum to 176,214, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AEA.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,592
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
668,331
Square (n²)
17,920,105,956
Cube (n³)
2,398,892,903,905,896
Divisor count
32
σ(n) — sum of divisors
310,080
φ(n) — Euler's totient
42,768
Sum of prime factors
115

Primality

Prime factorization: 2 × 3 3 × 37 × 67

Nearest primes: 133,853 (−13) · 133,873 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 37 · 54 · 67 · 74 · 111 · 134 · 201 · 222 · 333 · 402 · 603 · 666 · 999 · 1206 · 1809 · 1998 · 2479 · 3618 · 4958 · 7437 · 14874 · 22311 · 44622 · 66933 (half) · 133866
Aliquot sum (sum of proper divisors): 176,214
Factor pairs (a × b = 133,866)
1 × 133866
2 × 66933
3 × 44622
6 × 22311
9 × 14874
18 × 7437
27 × 4958
37 × 3618
54 × 2479
67 × 1998
74 × 1809
111 × 1206
134 × 999
201 × 666
222 × 603
333 × 402
First multiples
133,866 · 267,732 (double) · 401,598 · 535,464 · 669,330 · 803,196 · 937,062 · 1,070,928 · 1,204,794 · 1,338,660

Sums & aliquot sequence

As consecutive integers: 44,621 + 44,622 + 44,623 33,465 + 33,466 + 33,467 + 33,468 14,870 + 14,871 + … + 14,878 11,150 + 11,151 + … + 11,161
Aliquot sequence: 133,866 176,214 184,938 213,558 213,570 443,070 750,474 891,738 1,062,630 1,700,442 2,201,274 2,733,786 3,728,358 4,539,330 7,651,134 9,648,018 11,894,382 — unresolved within range

Continued fraction of √n

√133,866 = [365; (1, 7, 7, 1, 1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 7, 1, 1, 9, 2, 28, 1, 3, …)]

Representations

In words
one hundred thirty-three thousand eight hundred sixty-six
Ordinal
133866th
Binary
100000101011101010
Octal
405352
Hexadecimal
0x20AEA
Base64
Agrq
One's complement
4,294,833,429 (32-bit)
Scientific notation
1.33866 × 10⁵
As a duration
133,866 s = 1 day, 13 hours, 11 minutes, 6 seconds
In other bases
ternary (3) 20210122000
quaternary (4) 200223222
quinary (5) 13240431
senary (6) 2511430
septenary (7) 1065165
nonary (9) 223560
undecimal (11) 91637
duodecimal (12) 65576
tridecimal (13) 48c15
tetradecimal (14) 36adc
pentadecimal (15) 299e6

As an angle

133,866° = 371 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωξϛʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋦
Chinese
一十三萬三千八百六十六
Chinese (financial)
壹拾參萬參仟捌佰陸拾陸
In other modern scripts
Eastern Arabic ١٣٣٨٦٦ Devanagari १३३८६६ Bengali ১৩৩৮৬৬ Tamil ௧௩௩௮௬௬ Thai ๑๓๓๘๖๖ Tibetan ༡༣༣༨༦༦ Khmer ១៣៣៨៦៦ Lao ໑໓໓໘໖໖ Burmese ၁၃၃၈၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133866, here are decompositions:

  • 13 + 133853 = 133866
  • 23 + 133843 = 133866
  • 53 + 133813 = 133866
  • 97 + 133769 = 133866
  • 149 + 133717 = 133866
  • 157 + 133709 = 133866
  • 193 + 133673 = 133866
  • 197 + 133669 = 133866

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫪
CJK Unified Ideograph-20Aea
U+20AEA
Other letter (Lo)

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

Hex color
#020AEA
RGB(2, 10, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.234.

Address
0.2.10.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.234

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 133,866 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 133866 first appears in π at position 235,337 of the decimal expansion (the 235,337ordinal-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°.