8330
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 18468
- Proper Divisor Sum (Aliquot Sum)
- 10138
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 0
- Radical
- 1190
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- Number of carbon (rooted) trees with n carbon atoms = unordered 4-tuples of ternary trees.at n=13A000678
- a(n) = n*(n+1)*(n+8)/6.at n=34A006503
- Expansion of Product (1 - x^k)^10 in powers of x.at n=31A010818
- Triangle read by rows, the inverse Bell transform of n!*binomial(5,n) (without column 0).at n=33A013988
- Sum(C(j)*(n-j)*4^(n-j-1),j=0..n-1), C = Catalan numbers.at n=6A018218
- Expansion of 1/((1-7*x)*(1-10*x)*(1-11*x)).at n=3A020973
- T(2n,n+3), T given by A026780.at n=5A026896
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=1A045056
- A triangle related to A000108 (Catalan) and A000302 (powers of 4).at n=30A046527
- Basis for code in A075926.at n=9A075927
- a(n) = K_5(n) = Sum_{k>=0} A090285(5,k)*2^k*binomial(n,k). a(n) = 2*(2*n^5+45*n^4+360*n^3+1215*n^2+1528*n+315)/15.at n=4A090297
- Table T(n,k), n>=0 and k>=0, read by antidiagonals : the k-th column given by the k-th polynomial K_k related to A090285.at n=49A090299
- Triangle of numbers related to triangle A092083; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297, ...at n=25A092082
- Number of n-digit base-3 deletable primes.at n=15A096236
- Forwards row convergent of triangle A096811, in which A096811(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-2).at n=14A096812
- Sums of area and perimeter of primitive Pythagorean triples.at n=38A105521
- Diagonal sums of number triangle A108359.at n=15A108361
- Riordan array (1/((1-4*x)*c(x)),x*c(x)/sqrt(1-4*x)), c(x) the g.f. of A000108.at n=30A113955
- A106486-encodings of combinatorial games with value -1.at n=19A125993
- Numbers k such that k and k^2 use only the digits 0, 3, 6, 8 and 9.at n=25A136945