17216
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 34290
- Proper Divisor Sum (Aliquot Sum)
- 17074
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8576
- Möbius Function
- 0
- Radical
- 538
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- 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 65.at n=36A031563
- Denominators of continued fraction convergents to sqrt(636).at n=9A042221
- Number of parts in all partitions of n in which no part occurs more than 3 times.at n=30A117148
- Number of n X n arrays of squares of integers summing to 21 with every element equal to at least one neighbor.at n=2A146515
- Number of collinear point 5-tuples in an n X n X n cubical grid.at n=7A178263
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 4.at n=41A210376
- 4th arithmetic derivative of products of 2 successive prime numbers (A006094).at n=42A240054
- Number of (n+1)X(3+1) 0..1 arrays with every 2X2 subblock having one or two 1s.at n=3A251321
- Number of (n+1)X(4+1) 0..1 arrays with every 2X2 subblock having one or two 1s.at n=2A251322
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having one or two 1s.at n=17A251326
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having one or two 1s.at n=18A251326
- Number of length 2+2 0..n arrays with the sum of the maximum minus the median of adjacent triples multiplied by some arrangement of +-1 equal to zero.at n=14A251936
- Wiener index of graphs of f.c.c. unit cells in a line = Sum of distances in face-centered cubic grid unit cells connected in a row.at n=7A273322
- Numbers m such that the decimal number concat(8,m) is a square.at n=26A273363
- Number of integer partitions of n whose multiplicities have multiplicities that cover an initial interval of positive integers.at n=40A325330
- E.g.f. satisfies A(x) = exp( x/(1-x)^2 * A(x) ).at n=5A362775