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133,806

133,806 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.).

133,806 (one hundred thirty-three thousand eight hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 29 × 769. Its proper divisors sum to 143,394, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AAE.

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
608,331
Square (n²)
17,904,045,636
Cube (n³)
2,395,668,730,370,616
Divisor count
16
σ(n) — sum of divisors
277,200
φ(n) — Euler's totient
43,008
Sum of prime factors
803

Primality

Prime factorization: 2 × 3 × 29 × 769

Nearest primes: 133,801 (−5) · 133,811 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 29 · 58 · 87 · 174 · 769 · 1538 · 2307 · 4614 · 22301 · 44602 · 66903 (half) · 133806
Aliquot sum (sum of proper divisors): 143,394
Factor pairs (a × b = 133,806)
1 × 133806
2 × 66903
3 × 44602
6 × 22301
29 × 4614
58 × 2307
87 × 1538
174 × 769
First multiples
133,806 · 267,612 (double) · 401,418 · 535,224 · 669,030 · 802,836 · 936,642 · 1,070,448 · 1,204,254 · 1,338,060

Sums & aliquot sequence

As consecutive integers: 44,601 + 44,602 + 44,603 33,450 + 33,451 + 33,452 + 33,453 11,145 + 11,146 + … + 11,156 4,600 + 4,601 + … + 4,628
Aliquot sequence: 133,806 143,394 143,406 178,578 218,382 244,290 377,790 681,042 689,838 689,850 1,512,390 2,448,186 2,824,998 3,610,074 4,421,670 7,155,930 10,018,374 — unresolved within range

Continued fraction of √n

√133,806 = [365; (1, 3, 1, 7, 4, 5, 1, 2, 2, 1, 1, 14, 2, 1, 11, 7, 1, 20, 1, 1, 1, 3, 1, 2, …)]

Representations

In words
one hundred thirty-three thousand eight hundred six
Ordinal
133806th
Binary
100000101010101110
Octal
405256
Hexadecimal
0x20AAE
Base64
Agqu
One's complement
4,294,833,489 (32-bit)
Scientific notation
1.33806 × 10⁵
As a duration
133,806 s = 1 day, 13 hours, 10 minutes, 6 seconds
In other bases
ternary (3) 20210112210
quaternary (4) 200222232
quinary (5) 13240211
senary (6) 2511250
septenary (7) 1065051
nonary (9) 223483
undecimal (11) 91592
duodecimal (12) 65526
tridecimal (13) 48b9a
tetradecimal (14) 36a98
pentadecimal (15) 299a6

As an angle

133,806° = 371 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωϛʹ
Mayan (base 20)
𝋰·𝋮·𝋪·𝋦
Chinese
一十三萬三千八百零六
Chinese (financial)
壹拾參萬參仟捌佰零陸
In other modern scripts
Eastern Arabic ١٣٣٨٠٦ Devanagari १३३८०६ Bengali ১৩৩৮০৬ Tamil ௧௩௩௮௦௬ Thai ๑๓๓๘๐๖ Tibetan ༡༣༣༨༠༦ Khmer ១៣៣៨០៦ Lao ໑໓໓໘໐໖ Burmese ၁၃၃၈၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133806, here are decompositions:

  • 5 + 133801 = 133806
  • 37 + 133769 = 133806
  • 73 + 133733 = 133806
  • 83 + 133723 = 133806
  • 89 + 133717 = 133806
  • 97 + 133709 = 133806
  • 109 + 133697 = 133806
  • 137 + 133669 = 133806

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪮
CJK Unified Ideograph-20Aae
U+20AAE
Other letter (Lo)

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

Hex color
#020AAE
RGB(2, 10, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.174.

Address
0.2.10.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.174

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 133,806 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 133806 first appears in π at position 24,143 of the decimal expansion (the 24,143ordinal-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°.