17061
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25536
- Proper Divisor Sum (Aliquot Sum)
- 8475
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10120
- Möbius Function
- 0
- Radical
- 1551
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 172
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the solution to the postage stamp problem with 6 denominations and n stamps.at n=15A001211
- a(n) = Sum_{k=1..n} k*phi(k).at n=42A011755
- Numbers whose base-5 representation contains exactly three 1's and three 2's.at n=26A045232
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= n/3.at n=16A047194
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n-1)/3.at n=16A048006
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n-2)/3.at n=16A048017
- Duplicate of A047194.at n=16A048039
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n-4)/2.at n=16A048061
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n+2)/3.at n=16A048072
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n+3)/3.at n=16A048083
- Numbers n for which there are exactly seven k such that n = k + reverse(k).at n=33A072431
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 01010-11111 pattern in any orientation.at n=22A147064
- Number of permutations of 1..n with both permutation and its inverse having exactly 2 maxima.at n=10A180392
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=6A252466
- Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=0A252472
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=21A252473
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=27A252473
- Vertical moments of inertia of a unit lozenge tiling of the hexagon with side lengths n (see references for exact configuration).at n=10A374083