17676
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 44772
- Proper Divisor Sum (Aliquot Sum)
- 27096
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5880
- Möbius Function
- 0
- Radical
- 2946
- Omega Function (Ω)
- 5
- 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
- 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
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9).at n=49A017840
- Expansion of 1/(1-4*x-x^3).at n=7A052927
- Indices k where A057176(k) = 4.at n=22A086838
- Triangle T(n,k) read by rows: the coefficient [x^n] of x^2/(1-(k+1)*x-x^3) in row n, columns 0 <= k <= n.at n=48A117716
- Number of reduced words of length n in the infinite affine Weyl group (E_6)^{~} on 7 generators.at n=13A161410
- Number of (n+2)X(n+2) binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals.at n=2A203347
- Number of (n+2)X5 binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals.at n=2A203350
- T(n,k) = Number of (n+2) X (k+2) binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals.at n=12A203355
- Erroneous version of A000136.at n=8A213429
- Number of ways to dissect a square into n squares.at n=12A221842
- a(n) = Sum_{i=0..n} digsum_7(i)^3, where digsum_7(i) = A053828(i).at n=51A231678
- Integers n not of form 3m+2 such that for any integer k > 0, n*10^k+1 has a divisor in the set { 7, 11, 13, 37 }.at n=2A243969
- 30-gonal numbers: a(n) = n*(14*n-13).at n=36A254474
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 814", based on the 5-celled von Neumann neighborhood.at n=35A273644
- Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = Pi/2.at n=14A279592
- Coefficients of 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = Pi/2 and [ ] = floor.at n=14A288229
- a(n) is the nearest integer to the area of a triangle with sides prime(n), prime(n+1), prime(n+2).at n=44A338267
- Numbers k such that the k-th composition in standard order is an alternating permutation of {1..k} for some k.at n=26A349051
- Expansion of Sum_{k>0} x^(4*k)/(1-x^k)^5.at n=26A363608