15060
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 42336
- Proper Divisor Sum (Aliquot Sum)
- 27276
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4000
- Möbius Function
- 0
- Radical
- 7530
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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 MgCu2, Cu position.at n=31A009930
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=36A025005
- a(n) = Sum_{k=0..n-1} C(3*k,k)*C(3*n-3*k-2,n-k-1).at n=6A036829
- Denominators of continued fraction convergents to sqrt(70).at n=11A041123
- a(n) = Sum_{i=1..n} LookAndSay(i).at n=23A079664
- a(n) = Sum_{j=0..n} Sum_{k=0..n} binomial(n,j)*binomial(n,k)*max(j,k).at n=6A100511
- Riordan array (1/(1+x), x*(1-2*x)/(1+x)^2).at n=61A110522
- a(n) = 11 + floor((2 + Sum_{j=1..n-1} a(j))/3).at n=25A120156
- a(n) = (2*n^3 + 5*n^2 - 17*n)/2.at n=23A162259
- Number of binary strings of length n with equal numbers of 0001 and 0011 substrings.at n=15A164156
- y-values in the solution to x^2-70*y^2=1.at n=2A176378
- Number of equivalence classes of ballot paths of length n for the string dud.at n=24A274113
- Number of integer partitions of n whose odd parts have a common divisor > 1.at n=53A366842
- Expansion of g.f. A(x) satisfying A(x) = 1 + x*(A(x)^2 + A(-x)^2)/2 + x*(A(x)^3 - A(-x)^3)/2.at n=8A368627