15616
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
- 18
- Divisor Sum
- 31682
- Proper Divisor Sum (Aliquot Sum)
- 16066
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7680
- Möbius Function
- 0
- Radical
- 122
- Omega Function (Ω)
- 9
- 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
- 27
- 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
- Expansion of e.g.f. tan(tan(x)*x) (even powers only).at n=4A009707
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=31A011934
- Expansion of 1/((1+4*x)*(1-12*x)).at n=4A053536
- Numbers k such that 20*R_k + 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=19A056656
- Expansion of 1/((1-3*x-3*x^2-3*x^3)*(1-x)).at n=7A077821
- Numbers n which when converted to base 3, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=6A091077
- Number of divisors of 240^n.at n=15A103532
- In triangular peg solitaire, number of distinct feasible pairs starting with one peg missing and finishing with one peg.at n=30A130515
- In triangular peg solitaire, number of distinct solvable feasible pairs starting with one peg missing and finishing with one peg.at n=30A130516
- a(n) = 4*(4 + 9*n^2 + 15*n).at n=20A144449
- a(n) = A061039(8*n+5).at n=15A144453
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, -1), (0, 1, 1), (1, -1, 0)}.at n=10A148346
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (-1, 1, -1), (0, 1, 1), (1, -1, 0)}.at n=10A148347
- Totally multiplicative sequence with a(p) = 9p-2 for prime p.at n=27A166672
- a(n) = 61*n^2.at n=16A174333
- Partial sums of A174928.at n=30A174929
- Products of the 8th power of a prime and a distinct prime (p^8*q).at n=17A179668
- Monotonic ordering of nonnegative differences 5^i-3^j, for 40>=i>=0, j>=0.at n=31A192150
- Monotonic ordering of nonnegative differences 5^i-9^j, for 40>= i>=0, j>=0.at n=17A192199
- Half the number of nXnXn triangular binary arrays with every element unequal to at most 5 neighbors.at n=4A192501