14304
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 37800
- Proper Divisor Sum (Aliquot Sum)
- 23496
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4736
- Möbius Function
- 0
- Radical
- 894
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- 102
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 59.at n=38A031557
- Triangle: T(n,k), k<=n: groupoids with a nontrivial symmetry with n elements and k idempotents.at n=12A038020
- Triangle of coefficients of polynomials (rising powers) useful for convolutions of A001333(n+1), n >= 0 (associated Pell numbers).at n=10A062133
- Sum of aliquot divisors of Ramanujan's highly composite numbers.at n=18A072824
- Numbers n such that |real(zeta(1/2 + n*I))| exceeds all previous values, where zeta is the Riemann zeta function.at n=23A079630
- Pierce expansion of the cube root of 1/2.at n=8A140076
- Sum of proper divisors of n!: a(n) = sigma(n!) - n!.at n=7A153824
- a(n) = n*(14*n - 1).at n=32A195024
- Number of rooted planar binary unlabeled trees with n leaves and caterpillar index = 3.at n=12A214199
- Numbers k such that (41*10^k + 49)/9 is prime.at n=21A254441
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 478", based on the 5-celled von Neumann neighborhood.at n=31A272453
- p-INVERT of the positive integers, where p(S) = 1 - 3*S - 2*S^2.at n=5A290925
- Number of 6-cycles in the n-Menger sponge graph.at n=2A292075
- G.f.: Product_{m>0} (1+x^m+2!*x^(2*m)).at n=38A293204
- Expansion of Product_{k>=1} (1 + x^k) * (1 + x^(2*k)) * (1 + x^(3*k)) / ((1 - x^k) * (1 - x^(2*k)) * (1 - x^(3*k))).at n=15A327048
- Number T(n,k) of permutations of [n] having exactly k consecutive triples j, j+1, j-1; triangle T(n,k), n>=0, 0<=k<=floor(n/3), read by rows.at n=33A343535
- Numbers whose binary expansion consists of alternating runs of 1's and 0's where each run of 0's is exactly one shorter than the preceding run of 1's, and the expansion ends with a 0-run.at n=30A387270