17102
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 27216
- Proper Divisor Sum (Aliquot Sum)
- 10114
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8032
- Möbius Function
- -1
- Radical
- 17102
- Omega Function (Ω)
- 3
- 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
- 79
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) is the concatenation of n and 6n.at n=16A009440
- a(0) = 1, a(n) = 19*n^2 + 2 for n>0.at n=30A010009
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 11011-01110 pattern in any orientation.at n=22A147228
- G.f.: exp( Sum_{n>=1} A174476(n)*x^n/n ) where A174476(n) = Sum_{d|n} d^phi(d).at n=7A174475
- Number of (w,x,y) with all terms in {0,...,n} and w<x+y and x<y.at n=34A212980
- Symmetric (0,1)-matrices of order n where the numbers of 1's is equal to the order n.at n=7A238796
- Number of (n+1) X (2+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=7A251082
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=37A251088
- a(n) = Sum_{i=0..(n+1)/2} binomial(2*i+1,i)*binomial(2*n-2*i,n)/(2*i+1).at n=8A270490
- Number of partitions of n containing no parts that are powers of 2 with positive exponent.at n=50A276431
- Number of multisets of exactly two partitions of positive integers into distinct parts with total sum of parts equal to n.at n=32A320787
- Row 4 of A328464: a(n) = A276156(16n - 8) / 30.at n=11A328467
- Number of vertices in the n-th simplex graph of the complete graph on three vertices (K_3).at n=9A335807
- Consecutive states of the linear congruential pseudo-random number generator (625*s + 6571) mod 31104 when started at s=1.at n=7A385279
- a(0) = 1; thereafter a(n) = 2*(6*n^2 - 3*n + 1).at n=38A386477
- a(n) is the number of regions into which the plane is divided by n^2 circles of radius 1, the centers of which are located at the nodes of a square lattice n X n.at n=50A387883