13416
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 36960
- Proper Divisor Sum (Aliquot Sum)
- 23544
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 3354
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence).at n=44A023866
- a(n) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5).at n=30A026046
- Iteration of unitary-sigma function: a(1) = 2, a(n) = usigma(a(n-1)).at n=21A059460
- Triangle, read by rows, where the g.f. of column k, C_k(x), is defined by the recursion: C_k(x) = ( 1 + Sum_{n>=1} x^n*C_{n-1+k}(x) )^(k+1).at n=39A127082
- Column 3 of triangle A127082.at n=5A127086
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+521)^2 = y^2.at n=7A129725
- Numbers k such that the sum of the Carmichael lambda functions of the divisors is a proper divisor of k.at n=15A131492
- Twice 11-gonal numbers: a(n) = n*(9*n-7).at n=39A152995
- a(n) = 1728*n - 408.at n=7A157266
- Number of n X 1 0..3 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=44A201618
- Number of nX3 0..2 arrays with exactly floor(nX3/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=3A223099
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=18A223104
- Number of 4Xn 0..2 arrays with exactly floor(4Xn/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=2A223107
- Answer to Red, Green and Blue Tiles Problem.at n=18A244281
- Partial sums of A294629.at n=23A294630
- Number of minimal total dominating sets in the n-pan graph.at n=33A303148
- Number of squarefree parts in the partitions of n into 8 parts.at n=37A309461
- G.f. A(x) satisfies: 1 = Sum_{n=-oo..oo} (-x)^(n*(n+1)/2) * A(x)^(n*(n-1)/2), with A(0) = 0.at n=25A354661
- E.g.f. A(x) satisfies A(x) = Sum_{n>=0} ( A(x)^n + log(A(x)) )^n * x^n / n!.at n=5A386645