14564
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 27888
- Proper Divisor Sum (Aliquot Sum)
- 13324
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6600
- Möbius Function
- 0
- Radical
- 7282
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- Powers of fifth root of 20 rounded down.at n=16A018171
- a(n) = ceiling(2^n/n).at n=17A053638
- Number of 2n-celled free polyominoes with 1 hole that have the 180-degree rotation symmetry and no others.at n=6A057425
- a(n) = round( 2^n/n ).at n=17A065482
- Coefficients of the C-Dyson Mod 27 identity.at n=37A104503
- Expansion of x^3/(1 - 2*x + x^3 - 2*x^4) = x^3/( (1-2*x)*(1+x)*(1-x+x^2) ).at n=17A113405
- Numbers k such that the concatenation of k with k+5 gives a square.at n=4A115428
- Numbers k such that k concatenated with k-4 gives the product of two numbers which differ by 6.at n=2A116131
- First differences of A131666.at n=17A131090
- a(n) = the number of "isolated divisors" of n!. A positive divisor, k, of n is isolated if neither (k-1) nor (k+1) divides n.at n=17A133952
- Number of rooted trees with n nodes and omega-valency 5.at n=15A193490
- Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|=|y-z|+1.at n=22A212680
- Expansion of x^4*(2-3*x-x^2)/((1+x)*(1-2*x)^2).at n=16A219751
- Number of (n+1)X(2+1) 0..3 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237916
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=4A237921
- Number of partitions of n such that (greatest part) <= (multiplicity of least part).at n=45A240182
- Number of (n+3) X (1+3) 0..1 arrays with each row and column divisible by 9, read as a binary number with top and left being the most significant bits.at n=13A262333
- Number of parts in all partitions of n in which no part occurs more than five times.at n=26A320608
- Numbers that are the sum of nine fourth powers in ten or more ways.at n=13A345594
- Numbers that are the sum of nine fourth powers in exactly ten ways.at n=13A345852