10617
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
- 4
- Divisor Sum
- 14160
- Proper Divisor Sum (Aliquot Sum)
- 3543
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7076
- Möbius Function
- 1
- Radical
- 10617
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 254
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of partitions of n in which the least part is odd.at n=33A026804
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 68.at n=36A031566
- Numbers n such that Catalan(n)-1 is prime.at n=33A053427
- Number of distinct values of multinomial coefficients ( n / (p1, p2, p3, ...) ) where (p1, p2, p3, ...) runs over all partitions of n.at n=41A070289
- Numbers k such that k!! + 2^6 is prime.at n=12A076193
- Union of A080105 and A080106.at n=37A080078
- Round(226*phi^n).at n=21A080106
- Permanent of (0,1)-matrix of size n X (n+d) with d=2 and n-1 zeros not on a line.at n=5A090012
- a(n) = -A065395(2^n).at n=14A092589
- Numbers k such that the k-th triangular number contains only digits {3,5,6}.at n=14A119187
- a(n) = least k such that the remainder when 22^k is divided by k is n.at n=30A128362
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0100-1101-0111 pattern in any orientation.at n=15A147055
- Numbers k such that there are 9 digits in k^2 and for each factor f of 9 (1,3) the sum of digit groupings of size f is a square.at n=25A153747
- Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101.at n=5A260923
- Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101.at n=3A260925
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101.at n=39A260927
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101.at n=41A260927
- Smallest number such that the sum of the digits of n * a(n) is greater than n.at n=46A269333
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 577", based on the 5-celled von Neumann neighborhood.at n=17A283085
- a(0) = 1 and a(n) = A224704(n) - A224704(n-1).at n=18A316356