17018
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 26112
- Proper Divisor Sum (Aliquot Sum)
- 9094
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8316
- Möbius Function
- -1
- Radical
- 17018
- 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) = (9*n+1)*(9*n+8).at n=14A001534
- Smallest x > 1 such that x^prime(n) == 1 mod(prime(i)) 4<=i<=n.at n=3A071556
- Number of 3-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=33A187298
- Number of (w,x,y,z) with all terms in {0,...,n} and (least gapsize)>2.at n=14A212899
- a(n) = A122536(n) - A216958(n).at n=30A216960
- Number of length 4 0..n arrays with each partial sum starting from the beginning no more than sqrt(3) standard deviations from its mean.at n=10A244943
- Number of minimal edge covers in the ladder graph P_2 X P_n.at n=10A288029
- Transpose of square array A328464.at n=74A328463
- Square array A(n,k) = A276156((2^(n-1)) * (2k-1)) / A002110(n-1), read by descending antidiagonals.at n=69A328464
- Row 4 of A328464: a(n) = A276156(16n - 8) / 30.at n=8A328467
- Lexicographically earliest sequence of distinct positive integers such that a(n), a(n+1) and the product a(n)*a(n+1) have in common the substring n.at n=17A333933
- Number of uniquely-3-colorable graphs on n vertices.at n=6A348222
- a(n) = number of partitions p of n such that the least multiplicity of the parts of p is not a part of p.at n=46A365615
- Triangle read by rows: T(n,k) is the number of uniquely colorable simple graphs on n nodes with chromatic number k = 1..n.at n=38A369227
- Triangle read by rows: T(n,k) = (A002110(n) + A002110(k)) / A002110(k), 1 <= k <= n.at n=23A370135
- Irregular triangular array T; row n shows the coefficients of the (n-1)-st polynomial in the obverse convolution s(x)**t(x), where s(x) = 2^n x and t(x) = x+1. See Comments.at n=23A375044
- Consecutive states of the linear congruential pseudo-random number generator (1291*s + 4621) mod 21870 when started at s=1.at n=37A385337