13590
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35568
- Proper Divisor Sum (Aliquot Sum)
- 21978
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 0
- Radical
- 4530
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- yes
- Odd
- no
Appears in sequences
- Coefficients of modular function G_3(tau).at n=41A005761
- Coordination sequence for 4-dimensional I-centered cubic orthogonal lattice.at n=15A008532
- Numbers k such that k and 7*k are anagrams.at n=8A023091
- Numerators of continued fraction convergents to sqrt(908).at n=6A042754
- Number of polyominoes with n cells that tile the plane isohedrally but not by translation or by 180-degree rotation (Conway criterion).at n=13A075204
- Number of solid partitions non-symmetric under L^2 (L= 'time-lapse' symmetry operation) on solid partitions.at n=12A096581
- Number of compositions of the integer n into positive parts that avoid a fixed pattern of three letters.at n=16A102726
- Consider the array T(n, m) where the n-th row is the sequence of integer coefficients of A(x), where 1<=a(n)<=n, such that A(x)^(1/n) consists entirely of integer coefficients and where m is the (m+1)-th coefficient. This is the row sum of A to the first coefficient of one.at n=35A112285
- Expansion of g.f. (1/2)*( a*(1+x)^n + b*(1-x)^(n+2)*LerchPhi(x, -n-1, 1) + c*2^(n+1)*(1-x)^(n+1)*LerchPhi(x, -n, 1/2) ), where a = -4, b = 2, and c = 2, read by rows.at n=37A168518
- Expansion of g.f. (1/2)*( a*(1+x)^n + b*(1-x)^(n+2)*LerchPhi(x, -n-1, 1) + c*2^(n+1)*(1-x)^(n+1)*LerchPhi(x, -n, 1/2) ), where a = -4, b = 2, and c = 2, read by rows.at n=43A168518
- Number of n-bead necklaces labeled with numbers -1..1 not allowing reversal, with sum zero and first and second differences in -1..1.at n=23A209000
- Number of partitions of n having depth 3; see Comments.at n=50A237978
- Number of weakly unimodal compositions of n with absolute difference of successive parts <= 1.at n=35A238871
- Numbers x whose digits can be permuted to produce a multiple of x.at n=21A245680
- Number of (n+2) X (4+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=5A252857
- Number of (n+2)X(6+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=3A252859
- T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=39A252861
- Coordination sequence for (2,3,8) tiling of hyperbolic plane.at n=38A265058
- Diagonal of the rational function 1/((1 - u v - u w - v w - u v w) * (1 - x y - x z - y z)).at n=2A268552
- G.f. A(x) satisfies: A( x*A(x) - 2*x*A(x)^2 + x*A(x)^3 ) = x^2.at n=7A272821