14310
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 38880
- Proper Divisor Sum (Aliquot Sum)
- 24570
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 1590
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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 necklaces with n beads of 2 colors, allowing turning over (these are also called bracelets).at n=19A000029
- Length of n-th term of A006711.at n=33A022476
- a(n) = Sum_{j=0..n} Sum_{k=0..j} A026615(j, k).at n=12A026624
- Number of partitions of n into parts not of forms 4*k+2, 20*k, 10*k+5.at n=54A036026
- Numbers n such that n | sigma_13(n).at n=26A055717
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=34A065255
- Number of distinct necklaces with p beads of two possible colors, allowing turning over, p being a prime greater than 2.at n=6A104137
- Number of permutations of n distinct letters (ABCD...) each of which appears thrice with n-4 fixed points.at n=4A124008
- Ten times hexagonal numbers: 10*n*(2*n-1).at n=27A144560
- Expansion of f(q) * f(q^5) / phi(-q^2)^2 in powers of q where f(), phi() are Ramanujan theta functions.at n=27A145722
- Row sums of A163357 and A163359 divided by 4.at n=40A163477
- a(n) = floor(sqrt(2*n^5)).at n=40A172473
- Numbers k such that sigma(tau(k)) equals the sum of distinct primes dividing k.at n=35A173325
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 185", based on the 5-celled von Neumann neighborhood.at n=28A286413
- Coefficients in expansion of (q*j(q))^(-1/8) where j(q) is the elliptic modular invariant (A000521).at n=2A299827
- Expansion of (1/(1 - x)) * Sum_{k>=0} x^(2*k+1) / Product_{j=1..2*k+1} (1 - x^j).at n=30A306145
- Sum of ceiling(n/per(w)) over all binary words of length n.at n=12A331699
- a(n) is the cardinality of S(n), the subset of partitions of n such that there are enough smaller parts to add together to be greater than a larger part.at n=34A338085
- Array read by antidiagonals: T(n,k) is the number of unlabeled oriented k-gonal 2-trees with n oriented polygons, n >= 0, k >= 2.at n=73A340812
- Number of nonisomorphic magmas with n elements satisfying the identities (xy)y = x and (xy)z = (xz)y.at n=6A362822