14410
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 28512
- Proper Divisor Sum (Aliquot Sum)
- 14102
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5200
- Möbius Function
- 1
- Radical
- 14410
- 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
- 164
- 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 singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0).at n=21A020478
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 24.at n=9A031702
- Numbers with exactly 4 distinct palindromic prime factors.at n=33A046402
- 5 times pentagonal numbers: 5*n*(3*n-1)/2.at n=44A152734
- a(n) = 576*n^2 + 2*n.at n=4A158369
- a(n) = 100*n^2 + 10.at n=12A158492
- Row sums of triangle A178239.at n=32A178240
- Number of n X 4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=10A207449
- Numbers k such that (265*10^k - 7)/3 is prime.at n=21A266582
- Number of length-4 0..n arrays with no repeated value equal to the previous repeated value.at n=9A269468
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood.at n=26A270990
- G.f. A(x) satisfies: A(x - A(-x)^2) = x + A(x)^2.at n=7A277033
- a(n) = [x^n] Product_{k>=1} (1 + n*x^k).at n=10A291698
- Number of associative, quasitrivial, and order-preserving binary operations on the n-element set {1,...,n}.at n=10A293005
- Numbers k such that (22*10^k - 73)/3 is prime.at n=19A293035
- Number of triangles in a Star of David of size n.at n=11A299965
- Expansion of Sum_{k>=1} (-1 + Product_{j>=1} (1 + x^(k*j))^j).at n=18A302550
- Records in A171797 starting from a(1).at n=28A305396
- Expansion of Product_{k>=1} 1/(1 + x^k)^(k+1).at n=38A305628
- Irregular triangle of denominators of the average value of the first letter over all derangements of {1, 2, ..., n} with k descents.at n=28A332010