number.wiki
Live analysis

133,802

133,802 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.).

133,802 (one hundred thirty-three thousand eight hundred two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 149 × 449. Written other ways, in hexadecimal, 0x20AAA.

Cube-Free Deficient Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
208,331
Square (n²)
17,902,975,204
Cube (n³)
2,395,453,888,245,608
Divisor count
8
σ(n) — sum of divisors
202,500
φ(n) — Euler's totient
66,304
Sum of prime factors
600

Primality

Prime factorization: 2 × 149 × 449

Nearest primes: 133,801 (−1) · 133,811 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 149 · 298 · 449 · 898 · 66901 (half) · 133802
Aliquot sum (sum of proper divisors): 68,698
Factor pairs (a × b = 133,802)
1 × 133802
2 × 66901
149 × 898
298 × 449
First multiples
133,802 · 267,604 (double) · 401,406 · 535,208 · 669,010 · 802,812 · 936,614 · 1,070,416 · 1,204,218 · 1,338,020

Sums & aliquot sequence

As a sum of two squares: 59² + 361² = 179² + 319²
As consecutive integers: 33,449 + 33,450 + 33,451 + 33,452 824 + 825 + … + 972 74 + 75 + … + 522
Aliquot sequence: 133,802 68,698 51,344 48,166 24,086 12,046 7,034 3,520 5,624 5,776 6,035 1,741 1 0 — terminates at zero

Continued fraction of √n

√133,802 = [365; (1, 3, 1, 3, 32, 1, 103, 1, 1, 5, 1, 1, 5, 4, 1, 1, 3, 14, 1, 1, 1, 5, 1, 1, …)]

Period length 47 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred two
Ordinal
133802nd
Binary
100000101010101010
Octal
405252
Hexadecimal
0x20AAA
Base64
Agqq
One's complement
4,294,833,493 (32-bit)
Scientific notation
1.33802 × 10⁵
As a duration
133,802 s = 1 day, 13 hours, 10 minutes, 2 seconds
In other bases
ternary (3) 20210112122
quaternary (4) 200222222
quinary (5) 13240202
senary (6) 2511242
septenary (7) 1065044
nonary (9) 223478
undecimal (11) 91589
duodecimal (12) 65522
tridecimal (13) 48b96
tetradecimal (14) 36a94
pentadecimal (15) 299a2

As an angle

133,802° = 371 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρλγωβʹ
Mayan (base 20)
𝋰·𝋮·𝋪·𝋢
Chinese
一十三萬三千八百零二
Chinese (financial)
壹拾參萬參仟捌佰零貳
In other modern scripts
Eastern Arabic ١٣٣٨٠٢ Devanagari १३३८०२ Bengali ১৩৩৮০২ Tamil ௧௩௩௮௦௨ Thai ๑๓๓๘๐๒ Tibetan ༡༣༣༨༠༢ Khmer ១៣៣៨០២ Lao ໑໓໓໘໐໒ Burmese ၁၃၃၈၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133802, here are decompositions:

  • 79 + 133723 = 133802
  • 283 + 133519 = 133802
  • 499 + 133303 = 133802
  • 523 + 133279 = 133802
  • 541 + 133261 = 133802
  • 601 + 133201 = 133802
  • 619 + 133183 = 133802
  • 733 + 133069 = 133802

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪪
CJK Unified Ideograph-20Aaa
U+20AAA
Other letter (Lo)

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

Hex color
#020AAA
RGB(2, 10, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.170.

Address
0.2.10.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.170

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 133,802 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 133802 first appears in π at position 889,434 of the decimal expansion (the 889,434ordinal-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

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