17872
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 34658
- Proper Divisor Sum (Aliquot Sum)
- 16786
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8928
- Möbius Function
- 0
- Radical
- 2234
- Omega Function (Ω)
- 5
- 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
- 48
- 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
- Interprimes which are of the form s*prime, s=16.at n=16A075291
- Structured hexagonal diamond numbers (vertex structure 5).at n=23A100178
- Numbers k such that k concatenated with k+8 gives the product of two numbers which differ by 9.at n=6A116216
- Number of maximally-clustered hexagon-avoiding permutations in S_n; the maximally-clustered hexagon-avoiding permutations are those that avoid 3421, 4312, 4321, 46718235, 46781235, 56718234, 56781234.at n=9A129776
- Partial sums of ceiling(Fibonacci(n)/11).at n=25A179053
- Number of (n+1)X7 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors.at n=11A205070
- The number of idempotents in the Brauer monoid on [1..n].at n=7A227545
- Number of n X 2 0..4 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero.at n=11A230393
- Number of orbits of size n in vertex graph of Lucas cube Lambda_n.at n=39A250114
- Number of n X 7 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.at n=3A275141
- T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.at n=48A275142
- Number of 4 X n 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.at n=6A275144
- E.g.f.: exp(x/(1-x^2))/sqrt(1-x^2).at n=7A277379
- Triangle read by rows where T(n,k) is the number of unlabeled connected multigraphs with loops with n edges and k vertices.at n=62A322115
- Number of edges formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts.at n=23A355948
- Numbers k whose binary expansion contains 2 adjacent 1's and A391571(k) = k.at n=37A391581