14408
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 27030
- Proper Divisor Sum (Aliquot Sum)
- 12622
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- 0
- Radical
- 3602
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 164
- 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
- Euler transform of {1, primes}.at n=14A030012
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 30.at n=7A031708
- Number of conjugacy classes in the symmetric group S_n with distinct cardinality.at n=41A073906
- Numbers k such that (2*k)!/(2*(k!)^2) - 1 is prime.at n=23A112861
- a(n) = 225*n^2 + n.at n=7A156814
- a(n) = 900*n^2 + 2*n.at n=3A158406
- a(n) = 64*n^2 + 8.at n=14A158488
- a(1) = 2, a(n) = (n-th-even n^3) - (sum of previous terms).at n=25A181509
- Floor((8n+1/n)^n).at n=2A197597
- Round((8*n+1/n)^n).at n=2A197981
- Number of n X 2 0..1 arrays with row sums and column sums unimodal.at n=8A223711
- T(n,k)=Number of nXk 0..1 arrays with row sums and column sums unimodal.at n=46A223716
- T(n,k) = Number of n X k 0..1 arrays with row sums unimodal and column sums inverted unimodal.at n=46A223782
- The number of P-positions in the game of Nim with up to 4 piles, allowing for piles of zero, such that the number of objects in each pile does not exceed n.at n=25A241522
- G.f.: 1 + Sum_{n>=1} a(n)*x^n/(1 - x^n) = Product_{n>=1} (1 + x^n)^n.at n=18A300276
- Number of Dyck paths of semilength n such that the area under the right half of the path equals the area under the left half of the path.at n=12A300323
- Sum of number of divisors of x^y for each x >= 1, y >= 0, x + y = n.at n=41A343657
- Product_{n>=1} (1 + a(n) * x^n) = 1 + Sum_{n>=1} prime(n) * x^prime(n).at n=25A359177
- a(n) = 8*n^2 - 9*n + 3.at n=43A360416