15914
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
- 8
- Divisor Sum
- 24420
- Proper Divisor Sum (Aliquot Sum)
- 8506
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7776
- Möbius Function
- -1
- Radical
- 15914
- 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
- 27
- 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
- a(n) = 2^n - C(n,0) - C(n,1) - C(n,2) - C(n,3).at n=14A002663
- a(n) = Sum_{k=0..10} binomial(n,k).at n=14A008863
- Number of representations of n as a sum of products of positive integers. 1 is not allowed as a factor, unless it is the only factor. Representations which differ only in the order of terms or factors are considered equivalent.at n=28A066739
- Number of 3X3X3 triangular 0..n arrays with every horizontal row having the same average value.at n=14A214596
- Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n.at n=52A219965
- a(n) is the total number of all winning moves for all partitions of n which represent Chomp positions.at n=32A284686
- Expansion of Product_{1 <= i_1 <= i_2 <= i_3 <= i_4} 1/(1 - x^(i_1*i_2*i_3*i_4)).at n=28A321566
- E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^2).at n=5A367080
- Numbers whose second arithmetic derivative (A068346) is a primorial number (A002110) > 1.at n=22A368702