15162
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 36576
- Proper Divisor Sum (Aliquot Sum)
- 21414
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4104
- Möbius Function
- 0
- Radical
- 798
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 177
- 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
- Coordination sequence for alpha-Nd, Position Nd1.at n=38A009948
- Number of partitions of n into parts not of the form 13k, 13k+6 or 13k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=40A035954
- Triangle of coefficients of generalized Bernoulli polynomials associated with a Dirichlet character modulus 8.at n=16A151751
- Irregular array T(n,k), read by rows: row n is the polynomial expansion in t of p(x,t) = exp(t*x)/(1 - x/t - t^4 * x^4) with weighting factors t^n*n!.at n=59A158777
- Integers of the form A164577(k)/3.at n=26A164619
- Number of ways to place 5 nonattacking nightriders on a 5 X n board.at n=5A172220
- Auxiliary r(n) sequence used to prove some properties about Rowland's sequence: r(1) = 1, and r(n) = 1/2*(c(n)+1), where c(n) is A190894, for n>1.at n=37A190895
- Denominator of the rationals obtained from the e.g.f. D(1,x), a Debye function.at n=18A227540
- Denominators of rationals with e.g.f. D(3,x), a Debye function.at n=54A227571
- Integer areas A of the integer-sided triangles such that the product of the inradius and the circumradius is a square.at n=23A232329
- Triangle read by rows giving numbers H(n,k), number of classes of twin-tree-rooted maps with n edges whose root bond contains k edges.at n=24A260040
- Numbers n such that Bernoulli number B_{n} has denominator 1806.at n=23A272139
- a(n) = Sum_{i=1..n-1}(i^(n-2)) mod n^4.at n=18A284760
- Subword complexity of a the infinite word Prod_{i>=1} Prod_{j=1..i} a^j b^(i-j+1).at n=45A338761
- E.g.f. satisfies log(A(x)) = x^2 * (exp(x * A(x)) - 1) * A(x).at n=7A355508
- Primitive terms of A370348.at n=34A370406