14730
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 35424
- Proper Divisor Sum (Aliquot Sum)
- 20694
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3920
- Möbius Function
- 1
- Radical
- 14730
- Omega Function (Ω)
- 4
- 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
- 133
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of n-step anisotropic spirals on cubic lattice.at n=7A006780
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=33A015663
- Pisot sequence T(6,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=18A020741
- a(n) = (d(n)-r(n))/2, where d = A026037 and r is the periodic sequence with fundamental period (1,0,0,1).at n=42A026038
- Number of partitions in parts not of the form 13k, 13k+1 or 13k-1. Also number of partitions with no part of size 1 and differences between parts at distance 5 are greater than 1.at n=47A035949
- Numbers k such that 3^k + 4 is prime.at n=22A058958
- G.f. satisfies: A(x) = 1 + x*A(x) + x^3*A(x)^3.at n=13A071879
- Number of conjugate-congruent partitions of n.at n=41A137438
- Constant term of the reduction by x^2->x+2 of the polynomial p(n,x) defined below in Comments.at n=5A192457
- Numbers n such that c(n) = p_{2n}, where c(n) is the n-th Chebyshev prime and p_{2n} the 2n-th prime.at n=4A196674
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,2,1,1,1,2 for x=0,1,2,3,4,5,6.at n=5A198039
- Number of length n+4 0..6 arrays with no five consecutive terms having four times any element equal to the sum of the remaining four.at n=0A249464
- T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having four times any element equal to the sum of the remaining four.at n=15A249466
- Number of length 1+4 0..n arrays with no five consecutive terms having four times any element equal to the sum of the remaining four.at n=5A249467
- Number of binary words of length n such that for every prefix the number of occurrences of subword 101 is larger than or equal to the number of occurrences of subword 010.at n=15A260668
- Expansion of Product_{k=1..10} (1+x^(2*k-1))/(1-x^(2*k)).at n=49A316722
- a(n) = A115004(2n)/4.at n=11A331760
- a(n) is the number of vertices formed by n-secting the angles of a decagon.at n=26A335801