17344
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- yes
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 34544
- Proper Divisor Sum (Aliquot Sum)
- 17200
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8640
- Möbius Function
- 0
- Radical
- 542
- Omega Function (Ω)
- 7
- 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
- Symmetries in unrooted 3-trees on n+1 vertices.at n=16A003612
- Kaprekar numbers: positive numbers n such that n = q+r and n^2 = q*10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n != 10^a, a >= 1.at n=17A006886
- Expansion of Product_{m>=1} (1+q^m)^(-16).at n=6A022611
- Gaps of 8 in sequence A038593 (lower terms).at n=10A038655
- Numbers ending with '4' that are the difference of two positive cubes.at n=37A038859
- (n+4)^3 - n^3.at n=35A038866
- The full list of 5-Kaprekar numbers.at n=2A053396
- Another version of the Kaprekar numbers (A006886): n such that n = q+r and n^2 = q*10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n != 10^a, a >= 1 and n an m-digit number.at n=15A053816
- a(n) = (4*n^3 + 6*n^2 + 8*n + 6)/3.at n=23A100504
- Triangular Kaprekar-like numbers: numbers k such that the base-10 representation of T(k) = k*(k+1)/2 is the concatenation of two numbers x and y such that x + y = k.at n=35A110939
- a(n) = 9^n mod 5^n.at n=7A139730
- a(n) = n^2*(n^2 + 15)/4.at n=16A159833
- The number of trisubstitution products with composition C_n H_(2n-1) X_2 Y.at n=20A159940
- a(n) = ((5+sqrt(2))*(2+sqrt(2))^n + (5-sqrt(2))*(2-sqrt(2))^n)/2.at n=7A162269
- Floor-Sqrt transform of the numbers binomial(3*n,n)/(2*n+1) (A001764).at n=13A192665
- Expansion of 1/((1-x)^2*(1-x^2)^3*(1-x^3)^2*(1-x^4)).at n=22A210068
- G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E_7.at n=40A210633
- Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|+|x-y+|y-z|=n.at n=26A212904
- Number of (n+3) X 5 0..2 matrices with each 4 X 4 subblock idempotent.at n=10A224722
- a(n) = n^3*(n^4 + n^2 - 1).at n=3A239065