14937
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21504
- Proper Divisor Sum (Aliquot Sum)
- 6567
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9168
- Möbius Function
- -1
- Radical
- 14937
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- 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
- no
- Odd
- yes
Appears in sequences
- Dimension of n-th compound of a certain space.at n=14A007182
- Numerator of fraction equal to the continued fraction [ 0, 1, 4, ..., n^2 ].at n=4A036245
- Expansion of (1 - x)/(1 - 2*x - x^2 + x^4).at n=12A052967
- Expansion of (eta(q^5) / eta(q))^6 in powers of q.at n=8A121591
- a(n) = (n^2)*a(n-1) + a(n-2).at n=5A133471
- Number of n X n symmetric binary matrices with each 1 adjacent to no more than 4 king-move neighboring 1's.at n=4A191480
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and nonnegative determinant.at n=6A211147
- Square root of smallest square greater than the product of first n primes.at n=8A216144
- Values of x in A216363.at n=13A216382
- G.f. A(x) satisfies: x = Sum_{n>=1} 1/A(x)^(5*n) * Product_{k=1..n} (1 - 1/A(x)^(2*k-1)).at n=6A247480
- Expansion of Product_{k>=1} 1/(1-x^(k^2))^(k^2).at n=36A291655