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133,204

133,204 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.).

133,204 (one hundred thirty-three thousand two hundred four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,301. Written other ways, in hexadecimal, 0x20854.

Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
402,331
Square (n²)
17,743,305,616
Cube (n³)
2,363,479,281,273,664
Divisor count
6
σ(n) — sum of divisors
233,114
φ(n) — Euler's totient
66,600
Sum of prime factors
33,305

Primality

Prime factorization: 2 2 × 33301

Nearest primes: 133,201 (−3) · 133,213 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33301 · 66602 (half) · 133204
Aliquot sum (sum of proper divisors): 99,910
Factor pairs (a × b = 133,204)
1 × 133204
2 × 66602
4 × 33301
First multiples
133,204 · 266,408 (double) · 399,612 · 532,816 · 666,020 · 799,224 · 932,428 · 1,065,632 · 1,198,836 · 1,332,040

Sums & aliquot sequence

As a sum of two squares: 110² + 348²
As consecutive integers: 16,647 + 16,648 + … + 16,654
Aliquot sequence: 133,204 99,910 83,546 45,274 22,640 30,184 41,816 36,604 27,460 30,248 29,752 26,048 31,864 36,536 31,984 30,016 39,072 — unresolved within range

Continued fraction of √n

√133,204 = [364; (1, 33, 1, 3, 5, 1, 2, 6, 1, 1, 2, 145, 1, 1, 2, 6, 1, 1, 4, 3, 2, 1, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand two hundred four
Ordinal
133204th
Binary
100000100001010100
Octal
404124
Hexadecimal
0x20854
Base64
AghU
One's complement
4,294,834,091 (32-bit)
Scientific notation
1.33204 × 10⁵
As a duration
133,204 s = 1 day, 13 hours, 4 seconds
In other bases
ternary (3) 20202201111
quaternary (4) 200201110
quinary (5) 13230304
senary (6) 2504404
septenary (7) 1063231
nonary (9) 222644
undecimal (11) 91095
duodecimal (12) 65104
tridecimal (13) 48826
tetradecimal (14) 36788
pentadecimal (15) 29704

As an angle

133,204° = 370 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσδʹ
Mayan (base 20)
𝋰·𝋭·𝋠·𝋤
Chinese
一十三萬三千二百零四
Chinese (financial)
壹拾參萬參仟貳佰零肆
In other modern scripts
Eastern Arabic ١٣٣٢٠٤ Devanagari १३३२०४ Bengali ১৩৩২০৪ Tamil ௧௩௩௨௦௪ Thai ๑๓๓๒๐๔ Tibetan ༡༣༣༢༠༤ Khmer ១៣៣២០៤ Lao ໑໓໓໒໐໔ Burmese ၁၃၃၂၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133204, here are decompositions:

  • 3 + 133201 = 133204
  • 17 + 133187 = 133204
  • 47 + 133157 = 133204
  • 83 + 133121 = 133204
  • 101 + 133103 = 133204
  • 107 + 133097 = 133204
  • 131 + 133073 = 133204
  • 191 + 133013 = 133204

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡔
CJK Unified Ideograph-20854
U+20854
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 94 (4 bytes).

Hex color
#020854
RGB(2, 8, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.84.

Address
0.2.8.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.84

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 133,204 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 133204 first appears in π at position 395,180 of the decimal expansion (the 395,180ordinal-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