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133,814

133,814 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.).

133,814 (one hundred thirty-three thousand eight hundred fourteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 23 × 2,909. Written other ways, in hexadecimal, 0x20AB6.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
418,331
Square (n²)
17,906,186,596
Cube (n³)
2,396,098,453,157,144
Divisor count
8
σ(n) — sum of divisors
209,520
φ(n) — Euler's totient
63,976
Sum of prime factors
2,934

Primality

Prime factorization: 2 × 23 × 2909

Nearest primes: 133,813 (−1) · 133,831 (+17)

Divisors & multiples

All divisors (8)
1 · 2 · 23 · 46 · 2909 · 5818 · 66907 (half) · 133814
Aliquot sum (sum of proper divisors): 75,706
Factor pairs (a × b = 133,814)
1 × 133814
2 × 66907
23 × 5818
46 × 2909
First multiples
133,814 · 267,628 (double) · 401,442 · 535,256 · 669,070 · 802,884 · 936,698 · 1,070,512 · 1,204,326 · 1,338,140

Sums & aliquot sequence

As consecutive integers: 33,452 + 33,453 + 33,454 + 33,455 5,807 + 5,808 + … + 5,829 1,409 + 1,410 + … + 1,500
Aliquot sequence: 133,814 75,706 37,856 54,376 62,264 57,856 58,766 29,386 21,014 17,386 8,696 7,624 6,686 3,346 2,414 1,474 974 — unresolved within range

Continued fraction of √n

√133,814 = [365; (1, 4, 6, 1, 1, 20, 2, 1, 2, 1, 2, 1, 18, 1, 1, 11, 3, 2, 13, 2, 1, 2, 11, 1, …)]

Representations

In words
one hundred thirty-three thousand eight hundred fourteen
Ordinal
133814th
Binary
100000101010110110
Octal
405266
Hexadecimal
0x20AB6
Base64
Agq2
One's complement
4,294,833,481 (32-bit)
Scientific notation
1.33814 × 10⁵
As a duration
133,814 s = 1 day, 13 hours, 10 minutes, 14 seconds
In other bases
ternary (3) 20210120002
quaternary (4) 200222312
quinary (5) 13240224
senary (6) 2511302
septenary (7) 1065062
nonary (9) 223502
undecimal (11) 9159a
duodecimal (12) 65532
tridecimal (13) 48ba5
tetradecimal (14) 36aa2
pentadecimal (15) 299ae

As an angle

133,814° = 371 × 360° + 254°
254° ≈ 4.433 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωιδʹ
Mayan (base 20)
𝋰·𝋮·𝋪·𝋮
Chinese
一十三萬三千八百一十四
Chinese (financial)
壹拾參萬參仟捌佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٣٨١٤ Devanagari १३३८१४ Bengali ১৩৩৮১৪ Tamil ௧௩௩௮௧௪ Thai ๑๓๓๘๑๔ Tibetan ༡༣༣༨༡༤ Khmer ១៣៣៨១៤ Lao ໑໓໓໘໑໔ Burmese ၁၃၃၈၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133814, here are decompositions:

  • 3 + 133811 = 133814
  • 13 + 133801 = 133814
  • 97 + 133717 = 133814
  • 103 + 133711 = 133814
  • 157 + 133657 = 133814
  • 181 + 133633 = 133814
  • 271 + 133543 = 133814
  • 367 + 133447 = 133814

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪶
CJK Unified Ideograph-20Ab6
U+20AB6
Other letter (Lo)

UTF-8 encoding: F0 A0 AA B6 (4 bytes).

Hex color
#020AB6
RGB(2, 10, 182)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.182.

Address
0.2.10.182
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.182

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 133,814 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 133814 first appears in π at position 712,773 of the decimal expansion (the 712,773ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.