17450
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
- 12
- Divisor Sum
- 32550
- Proper Divisor Sum (Aliquot Sum)
- 15100
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6960
- Möbius Function
- 0
- Radical
- 3490
- 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
- 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
- Pierce expansion for Euler's constant.at n=8A006284
- Total sum of even parts in all partitions of n.at n=23A066966
- Smallest number a(n)>a(n-1) such that T(a(n-1))+T(a(n))=T(m) for some m, a(1)=3; T(i) are the triangular numbers.at n=28A072522
- a(n) = (2*n^3 + 5*n^2 + 21*n)/2.at n=24A162266
- G.f.: exp( Sum_{n>=1} x^n/n * Product_{d|n} (1 + d*x^d)^n ).at n=14A205484
- Number of points that are the intersections of exactly two semicircles in the configuration A290447(n).at n=28A292103
- Number of nX4 0..1 arrays with each 1 adjacent to 1, 3 or 5 king-move neighboring 1s.at n=5A296948
- Number of nX6 0..1 arrays with each 1 adjacent to 1, 3 or 5 king-move neighboring 1s.at n=3A296950
- T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 5 king-move neighboring 1s.at n=39A296952
- T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 5 king-move neighboring 1s.at n=41A296952
- Number of n X 6 0..1 arrays with every element unequal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.at n=7A304950
- Number of solid standard Young tableaux of n cells and height <= 5.at n=8A320182
- Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of exact wrapping probability for site percolation on an n X n 2D triangular lattice with periodic boundary conditions. This is for the probability that it wraps in both dimensions.at n=42A365948
- E.g.f. satisfies A(x) = (1 + x * exp(x*A(x)^2))^2.at n=5A377580
- Total number of inversions in all heapable permutations of length n.at n=7A388138