14493
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19328
- Proper Divisor Sum (Aliquot Sum)
- 4835
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9660
- Möbius Function
- 1
- Radical
- 14493
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Apply partial sum operator thrice to primes.at n=17A014150
- 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 80.at n=25A031578
- Number of n-dimensional unimodular lattices (or quadratic forms) containing no vectors of norm 1.at n=27A054907
- Number of n-dimensional odd unimodular lattices (or quadratic forms) containing no vectors of norm 1.at n=27A054908
- Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 3 ones in any 3 X 3 X 3 subtriangle.at n=13A153922
- Sum of the second largest parts of the partitions of n into 9 squarefree parts.at n=47A326531
- Numbers k such that (2*k)# * 2^k - 1 is prime.at n=32A333390
- a(1) = 1; if a(n) is not divisible by 3, a(n+1) = 4*a(n) + 1, otherwise a(n+1) = a(n)/3.at n=21A346035
- a(n) = 8*n^2 - 7*n + 2.at n=43A360417
- E.g.f. satisfies A(x) = exp( 3 * (exp(x*A(x)) - 1) ).at n=4A375871