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133,442

133,442 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.).

133,442 (one hundred thirty-three thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 66,721. Written other ways, in hexadecimal, 0x20942.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
288
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
244,331
Recamán's sequence
a(35,544) = 133,442
Square (n²)
17,806,767,364
Cube (n³)
2,376,170,650,586,888
Divisor count
4
σ(n) — sum of divisors
200,166
φ(n) — Euler's totient
66,720
Sum of prime factors
66,723

Primality

Prime factorization: 2 × 66721

Nearest primes: 133,439 (−3) · 133,447 (+5)

Divisors & multiples

All divisors (4)
1 · 2 · 66721 (half) · 133442
Aliquot sum (sum of proper divisors): 66,724
Factor pairs (a × b = 133,442)
1 × 133442
2 × 66721
First multiples
133,442 · 266,884 (double) · 400,326 · 533,768 · 667,210 · 800,652 · 934,094 · 1,067,536 · 1,200,978 · 1,334,420

Sums & aliquot sequence

As a sum of two squares: 131² + 341²
As consecutive integers: 33,359 + 33,360 + 33,361 + 33,362
Aliquot sequence: 133,442 66,724 66,780 169,092 372,540 820,932 1,450,428 2,549,316 5,192,124 8,801,604 17,144,316 33,273,324 66,912,580 93,677,948 113,044,036 114,549,820 185,366,468 — unresolved within range

Continued fraction of √n

√133,442 = [365; (3, 2, 1, 2, 1, 3, 1, 8, 2, 5, 1, 1, 1, 364, 1, 1, 1, 5, 2, 8, 1, 3, 1, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred forty-two
Ordinal
133442nd
Binary
100000100101000010
Octal
404502
Hexadecimal
0x20942
Base64
AglC
One's complement
4,294,833,853 (32-bit)
Scientific notation
1.33442 × 10⁵
As a duration
133,442 s = 1 day, 13 hours, 4 minutes, 2 seconds
In other bases
ternary (3) 20210001022
quaternary (4) 200211002
quinary (5) 13232232
senary (6) 2505442
septenary (7) 1064021
nonary (9) 223038
undecimal (11) 91291
duodecimal (12) 65282
tridecimal (13) 4897a
tetradecimal (14) 368b8
pentadecimal (15) 29812

As an angle

133,442° = 370 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγυμβʹ
Mayan (base 20)
𝋰·𝋭·𝋬·𝋢
Chinese
一十三萬三千四百四十二
Chinese (financial)
壹拾參萬參仟肆佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٣٤٤٢ Devanagari १३३४४२ Bengali ১৩৩৪৪২ Tamil ௧௩௩௪௪௨ Thai ๑๓๓๔๔๒ Tibetan ༡༣༣༤༤༢ Khmer ១៣៣៤៤២ Lao ໑໓໓໔໔໒ Burmese ၁၃၃၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133442, here are decompositions:

  • 3 + 133439 = 133442
  • 139 + 133303 = 133442
  • 163 + 133279 = 133442
  • 181 + 133261 = 133442
  • 229 + 133213 = 133442
  • 241 + 133201 = 133442
  • 373 + 133069 = 133442
  • 409 + 133033 = 133442

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥂
CJK Unified Ideograph-20942
U+20942
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 82 (4 bytes).

Hex color
#020942
RGB(2, 9, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.66.

Address
0.2.9.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.66

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 133,442 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 133442 first appears in π at position 734,935 of the decimal expansion (the 734,935ordinal-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.