15295
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 7745
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9504
- Möbius Function
- 1
- Radical
- 15295
- Omega Function (Ω)
- 4
- 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
- 84
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Molien series of 4-dimensional representation of u.g.g.r. #9.at n=16A013977
- Molien series of 4-dimensional representation of u.g.g.r. #8.at n=32A013978
- Cubic star numbers: a(n) = n^3 + 4*Sum_{i=0..n-1} i^2.at n=19A051673
- Terms of A050530 with four prime divisors.at n=6A053340
- a(n) = M(2^n), where M(n) is Mertens's function, A002321.at n=41A084236
- Number of binary strings of length n with no substrings equal to 0001 0101 or 1010.at n=14A164472
- Odd long legs `B` of more than one primitive Pythagorean triangle.at n=24A179271
- Numbers k such that hexagonal numbers H(k) and H(k+1) sum to another hexagonal number.at n=3A251601
- Number of distinct proper angles that can be formed by a vertex and two leg endpoints on grid points in an n X n square grid.at n=17A252591
- Rhonda numbers in vigesimal number system.at n=2A255732
- a(n) = n*(n + 11)*(n + 22)/6.at n=35A264445
- Expansion of Product_{k>=1} 1/(1 - x^k)^(k*(k^2+1)/2).at n=9A302448
- Numbers that can be written in more than one way as p^2 + q^3 + r^4 with p, q and r primes.at n=23A318530
- Numbers k such that k![4] - 4 is prime, where k![4] = A007662(k) = quadruple factorial.at n=39A328454
- Inverse Moebius transform of A000056.at n=25A350156
- a(n) = 2*a(n-1) + 2*a(n-3) + a(n-4) - 1, with a(0) = 0 = a(1), a(2) = 2, and a(3) = 3.at n=13A353582
- Expansion of Sum_{1<=i<=j} q^(i+j)/( (1-q^i)*(1-q^j) )^2.at n=34A374929