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133,322

133,322 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.).

133,322 (one hundred thirty-three thousand three hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 89 × 107. Written other ways, in hexadecimal, 0x208CA.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
108
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
223,331
Recamán's sequence
a(35,304) = 133,322
Square (n²)
17,774,755,684
Cube (n³)
2,369,765,977,302,248
Divisor count
16
σ(n) — sum of divisors
233,280
φ(n) — Euler's totient
55,968
Sum of prime factors
205

Primality

Prime factorization: 2 × 7 × 89 × 107

Nearest primes: 133,321 (−1) · 133,327 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 89 · 107 · 178 · 214 · 623 · 749 · 1246 · 1498 · 9523 · 19046 · 66661 (half) · 133322
Aliquot sum (sum of proper divisors): 99,958
Factor pairs (a × b = 133,322)
1 × 133322
2 × 66661
7 × 19046
14 × 9523
89 × 1498
107 × 1246
178 × 749
214 × 623
First multiples
133,322 · 266,644 (double) · 399,966 · 533,288 · 666,610 · 799,932 · 933,254 · 1,066,576 · 1,199,898 · 1,333,220

Sums & aliquot sequence

As consecutive integers: 33,329 + 33,330 + 33,331 + 33,332 19,043 + 19,044 + … + 19,049 4,748 + 4,749 + … + 4,775 1,454 + 1,455 + … + 1,542
Aliquot sequence: 133,322 99,958 63,338 40,342 22,874 11,440 19,808 19,252 14,446 8,018 4,702 2,354 1,534 986 634 320 442 — unresolved within range

Continued fraction of √n

√133,322 = [365; (7, 1, 1, 8, 1, 2, 2, 5, 42, 1, 3, 2, 1, 1, 9, 2, 2, 2, 1, 2, 1, 2, 2, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred twenty-two
Ordinal
133322nd
Binary
100000100011001010
Octal
404312
Hexadecimal
0x208CA
Base64
AgjK
One's complement
4,294,833,973 (32-bit)
Scientific notation
1.33322 × 10⁵
As a duration
133,322 s = 1 day, 13 hours, 2 minutes, 2 seconds
In other bases
ternary (3) 20202212212
quaternary (4) 200203022
quinary (5) 13231242
senary (6) 2505122
septenary (7) 1063460
nonary (9) 222785
undecimal (11) 91192
duodecimal (12) 651a2
tridecimal (13) 488b7
tetradecimal (14) 36830
pentadecimal (15) 29782

As an angle

133,322° = 370 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτκβʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋢
Chinese
一十三萬三千三百二十二
Chinese (financial)
壹拾參萬參仟參佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٢٢ Devanagari १३३३२२ Bengali ১৩৩৩২২ Tamil ௧௩௩௩௨௨ Thai ๑๓๓๓๒๒ Tibetan ༡༣༣༣༢༢ Khmer ១៣៣៣២២ Lao ໑໓໓໓໒໒ Burmese ၁၃၃၃၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133322, here are decompositions:

  • 3 + 133319 = 133322
  • 19 + 133303 = 133322
  • 43 + 133279 = 133322
  • 61 + 133261 = 133322
  • 109 + 133213 = 133322
  • 139 + 133183 = 133322
  • 271 + 133051 = 133322
  • 283 + 133039 = 133322

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣊
CJK Unified Ideograph-208Ca
U+208CA
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 8A (4 bytes).

Hex color
#0208CA
RGB(2, 8, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.202.

Address
0.2.8.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.202

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 133,322 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 133322 first appears in π at position 193,845 of the decimal expansion (the 193,845ordinal-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.