number.wiki
Live analysis

133,522

133,522 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.).

133,522 (one hundred thirty-three thousand five hundred twenty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 101 × 661. Written other ways, in hexadecimal, 0x20992.

Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
180
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
225,331
Square (n²)
17,828,124,484
Cube (n³)
2,380,446,837,352,648
Divisor count
8
σ(n) — sum of divisors
202,572
φ(n) — Euler's totient
66,000
Sum of prime factors
764

Primality

Prime factorization: 2 × 101 × 661

Nearest primes: 133,519 (−3) · 133,541 (+19)

Divisors & multiples

All divisors (8)
1 · 2 · 101 · 202 · 661 · 1322 · 66761 (half) · 133522
Aliquot sum (sum of proper divisors): 69,050
Factor pairs (a × b = 133,522)
1 × 133522
2 × 66761
101 × 1322
202 × 661
First multiples
133,522 · 267,044 (double) · 400,566 · 534,088 · 667,610 · 801,132 · 934,654 · 1,068,176 · 1,201,698 · 1,335,220

Sums & aliquot sequence

As a sum of two squares: 159² + 329² = 221² + 291²
As consecutive integers: 33,379 + 33,380 + 33,381 + 33,382 1,272 + 1,273 + … + 1,372 129 + 130 + … + 532
Aliquot sequence: 133,522 69,050 59,476 44,614 22,310 20,026 14,534 9,622 5,714 2,860 4,196 3,154 1,886 1,138 572 604 460 — unresolved within range

Continued fraction of √n

√133,522 = [365; (2, 2, 5, 1, 1, 1, 3, 2, 5, 2, 1, 3, 2, 3, 1, 7, 1, 1, 1, 2, 42, 1, 1, 1, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred twenty-two
Ordinal
133522nd
Binary
100000100110010010
Octal
404622
Hexadecimal
0x20992
Base64
AgmS
One's complement
4,294,833,773 (32-bit)
Scientific notation
1.33522 × 10⁵
As a duration
133,522 s = 1 day, 13 hours, 5 minutes, 22 seconds
In other bases
ternary (3) 20210011021
quaternary (4) 200212102
quinary (5) 13233042
senary (6) 2510054
septenary (7) 1064164
nonary (9) 223137
undecimal (11) 91354
duodecimal (12) 6532a
tridecimal (13) 48a0c
tetradecimal (14) 36934
pentadecimal (15) 29867

As an angle

133,522° = 370 × 360° + 322°
322° ≈ 5.62 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγφκβʹ
Mayan (base 20)
𝋰·𝋭·𝋰·𝋢
Chinese
一十三萬三千五百二十二
Chinese (financial)
壹拾參萬參仟伍佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٣٥٢٢ Devanagari १३३५२२ Bengali ১৩৩৫২২ Tamil ௧௩௩௫௨௨ Thai ๑๓๓๕๒๒ Tibetan ༡༣༣༥༢༢ Khmer ១៣៣៥២២ Lao ໑໓໓໕໒໒ Burmese ၁၃၃၅၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133522, here are decompositions:

  • 3 + 133519 = 133522
  • 23 + 133499 = 133522
  • 29 + 133493 = 133522
  • 41 + 133481 = 133522
  • 71 + 133451 = 133522
  • 83 + 133439 = 133522
  • 131 + 133391 = 133522
  • 173 + 133349 = 133522

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦒
CJK Unified Ideograph-20992
U+20992
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 92 (4 bytes).

Hex color
#020992
RGB(2, 9, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.146.

Address
0.2.9.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.146

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 133,522 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading