15832
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 29700
- Proper Divisor Sum (Aliquot Sum)
- 13868
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7912
- Möbius Function
- 0
- Radical
- 3958
- 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
- 146
- 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
- Triangular matrix T, read by rows, such that the anticommutator of T and U shifts the columns of T up 1 row: {T,U}(n,k) = T(n+1,k), where U denotes the triangular matrix defined by U(n,k) = A000108(n-k) = Catalan(n-k) for n>=k and where T(n,n) = (n+1).at n=47A116077
- Even numbers k such that if a person is born in year k and lives not more than 100 years, then he never celebrates his prime birthday on a prime year.at n=14A124658
- Number of length n+4 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=40A255995
- Expansion of Product_{k=1..9} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=46A320241
- Total number of consecutive triples matching the pattern 132 in all faro permutations of length n.at n=14A340568
- Number of compositions of n with no adjacent triples (..., x, y, z, ...) where x <= y <= z.at n=19A344615
- G.f. A(x) satisfies: 1 - x = Sum_{n>=0} x^n * (x^(2*n) + (-1)^n*A(x))^n.at n=16A352817
- Number of partitions p of n such that 5*min(p) is a part of p.at n=40A361459
- Row sums of A370942: a(n) is the total number of nonempty, longest nonoverlapping properly nested substrings among all strings of parentheses of length n.at n=13A370943