17071
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17512
- Proper Divisor Sum (Aliquot Sum)
- 441
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16632
- Möbius Function
- 1
- Radical
- 17071
- Omega Function (Ω)
- 2
- 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
- 172
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Open 3-dimensional ball numbers (version 1): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (0,0,0).at n=32A053592
- Numbers n such that n and 2n+1 are both palindromes.at n=38A069881
- Numbers n for which there are exactly eight k such that n = k + reverse(k).at n=31A072432
- Number of solutions to x^2 + y^2 + z^2 < n^2; number of lattice points inside a sphere of radius n.at n=16A078183
- Diagonal of A083464.at n=29A083465
- Row sums of triangle A052313, which is the matrix square of the triangle of circular binomial coefficients (A047996).at n=13A091714
- Concatenation of palindrome k and its 10's complement is prime.at n=41A108537
- Palindromic cyclops numbers.at n=16A138131
- Expansion of 1/(x^k*(1-x-2*x^(k+1))) for k=7.at n=33A143450
- Composite numbers generated by the Euler polynomial x^2 + x + 41.at n=23A145292
- Palindromic Ulam numbers.at n=31A173542
- Prime-generating polynomial: a(n) = 16*n^2 - 300*n + 1447.at n=42A181973
- Happy palindromic numbers.at n=37A216237
- Semiprimes generated by the Euler polynomial x^2 + x + 41.at n=23A228183
- Numbers n such that n +/- the product of digits of n are both palindromes.at n=43A244541
- Palindromes n such that n +/- the product of digits of n are both palindromes.at n=40A244542
- Palindromes with no palindromic aliquot parts except 1.at n=18A257973
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 249", based on the 5-celled von Neumann neighborhood.at n=27A271014
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 334", based on the 5-celled von Neumann neighborhood.at n=39A271283