15712
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 30996
- Proper Divisor Sum (Aliquot Sum)
- 15284
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7840
- Möbius Function
- 0
- Radical
- 982
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- Number of protruded partitions of n with largest part at most 5.at n=15A005406
- Expansion of Product_{m>0} (1+q^m)^(m(m+1)/2).at n=13A028377
- Rectangular array read by antidiagonals: a(n, k) is the number of ways to put k labeled objects into n labeled boxes so that there are no boxes with exactly one object (n, k >= 1).at n=62A131103
- First string of 43 consecutive composite numbers.at n=28A177949
- Values x for records of the minima of the positive distance d between the eleventh power of a positive integer x and the square of an integer y such that d = x^11 - y^2 (x <> k^2 and y <> k^11).at n=44A179794
- Number of n X n 0..2 arrays avoiding the pattern z-2 z-1 z in any row or column.at n=2A206693
- Number of nX3 0..2 arrays avoiding the pattern z-2 z-1 z in any row or column.at n=2A206695
- T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-2 z-1 z in any row or column.at n=12A206700
- Expansion of q * phi(q) * psi(q^8) / (phi(-q) * phi(q^4)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=20A215348
- Expansion of q * phi(-q) * psi(q^8) / (phi(q) * phi(q^4)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=20A215349
- Expansion of (psi(x)^2 / (phi(-x) * phi(x^2)))^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=10A232772
- Irregular triangle read by rows: T(n,k) is the number of identity trees with n nodes and maximal branching factor k.at n=64A244523
- Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 2.at n=13A245747