13329
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19266
- Proper Divisor Sum (Aliquot Sum)
- 5937
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8880
- Möbius Function
- 0
- Radical
- 4443
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 182
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = T(n,n+4), T given by A027023.at n=9A027026
- a(n) = T(n,2n-9), T given by A027023.at n=8A027033
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=35A031828
- Numerators of continued fraction convergents to sqrt(90).at n=4A041160
- Row 4 of array in A047666.at n=13A047668
- Interprimes which are of the form s*prime, s=9.at n=38A075284
- a(n) = 392*n + 1.at n=34A158002
- a(n) = 68*n^2 + 1.at n=14A158732
- Antidiagonal sums of triangle A186084.at n=36A186505
- y-values in the solution to 10*x^2-9 = y^2.at n=7A198943
- Natural growth of an aliquot sequence driven by a perfect number 2^(p-1)*((2^p)-1), but starting at 27.at n=14A216224
- a(n) = n*(5*n^2-8*n+5)/2.at n=18A226449
- Expansion of Product_{k>=1} 1/(1-x^k)^binomial(k+6,7).at n=7A255965
- Expansion of Product_{k>=0} 1/(1-x^(4*k+1))^3.at n=29A261632
- Numbers k such that (13*10^k + 47) / 3 is prime.at n=22A279549
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=47A302322
- Number of 3 X n 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=7A302324
- Number of ways to fill a matrix with the parts of a strict integer partition of n.at n=23A323301
- Odd numbers for which sigma(k) is congruent to 2 modulo 4 and the 3-adic valuation of k is one larger than the 3-adic valuation of sigma(k).at n=48A351534
- G.f. satisfies A(x) = (1 + x*A(x)) * (1 - x*A(x)^3).at n=12A364375