17740
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 37296
- Proper Divisor Sum (Aliquot Sum)
- 19556
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7088
- Möbius Function
- 0
- Radical
- 8870
- Omega Function (Ω)
- 4
- 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
- Number of permutations of length n which avoid the patterns 321, 1342, 3124.at n=19A116718
- a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range.at n=10A165599
- Number of nX4 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=5A202975
- Number of nX6 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=3A202977
- T(n,k)=Number of nXk 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=39A202979
- T(n,k)=Number of nXk 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.at n=41A202979
- Number of tilings of a 2 X n rectangle using integer-sided rectangular tiles of equal area.at n=21A220768
- Central terms of the triangle in A059283.at n=5A224729
- a(n) = Sum_{i=0..n} digsum_7(i)^3, where digsum_7(i) = A053828(i).at n=52A231678
- Expansion of (1+x)/(1-x^2-3*x^3).at n=20A238389
- Number of nX3 0..n*3-1 arrays with upper left zero and lower right n*3-1 and each element differing from its horizontal and vertical neighbors by a power of three.at n=3A265214
- Number of (2n-1)X4 0..8n-5 arrays with upper left zero and lower right 8n-5 and each element differing from its horizontal and vertical neighbors by a power of three.at n=1A265215
- T(n,k) is the number of n X k 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and vertical neighbors by a power of three.at n=17A265218
- T(n,k) is the number of n X k 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and vertical neighbors by a power of three.at n=18A265218
- Number of reduced words of length n in the alphabet {U,U^(-1),S,S^(-1)} that are equal to unity if U^3 = S^2 = 1.at n=12A276409
- Number of collinear triples in a 4 X n rectangular grid.at n=29A334706