14756
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 32256
- Proper Divisor Sum (Aliquot Sum)
- 17500
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 7378
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 102
- Smith Number
- yes
- 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
- 5-dimensional pyramidal numbers: a(n) = n*(n+1)*(n+2)*(n+3)*(2n+3)/5!.at n=13A005585
- Number of 5-leaf rooted trees with n levels.at n=15A007715
- Even numbers to the right of the central numbers of the (1,2)-Pascal triangle A029635.at n=47A029643
- Even numbers to the left of the central elements of the (2,1)-Pascal triangle A029653.at n=47A029665
- Numerators of continued fraction convergents to sqrt(949).at n=7A042836
- Expansion of 1/((1-x)^7 - x^7).at n=11A049017
- T(2n+3,n), array T as in A055794.at n=13A055796
- Numbers k such that usigma(k) = phi(k)*omega(k), where omega(k) is the number of distinct prime divisors of k.at n=11A063795
- An interleaved sequence of pyramidal and polygonal numbers.at n=28A081284
- Number of walks of length n between two nodes at distance 2 in the cycle graph C_7.at n=15A095307
- Number of isomers of polyhex hydrocarbons with C_(2h) symmetry with eighteen hexagons.at n=11A120371
- Triangle H(n,j) (n=1,2,3,..., j=2,3,4,...) read by rows: let X(k,l,n) := Stirling2(n,k)*Stirling2(k,l) for 1<=k<=n and 1<=l<=k. Then H(n,j)= sum_{k+l=j, 1<=k<=n and 1<=l<=k} X(k,l,n).at n=58A136206
- The function W_n(6) (see Borwein et al. reference for definition).at n=13A169711
- a(n) = (9*n+2)*(9*n+7).at n=13A177072
- Convolution of A008805 (triangular numbers repeated) with itself.at n=26A177747
- The number of primes in A013918 less than 10^n.at n=11A189153
- Sum of positive cranks minus the sum of positive ranks of all partitions of n.at n=41A195012
- Degrees of irreducible representations of orthogonal group O10+(2).at n=13A214472
- Expansion of (psi(x) * phi(-x)^4)^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=31A215472
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 517", based on the 5-celled von Neumann neighborhood.at n=24A272732