17003
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19836
- Proper Divisor Sum (Aliquot Sum)
- 2833
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14532
- Möbius Function
- 0
- Radical
- 2429
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 19 ones.at n=10A031787
- Numbers whose base-7 representation contains exactly four 0's.at n=21A043396
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n.at n=25A057253
- Numerators of power series for sqrt(1+x^2)/sqrt(1-x).at n=9A067649
- Denominators of continued fraction convergents to cosh(1).at n=10A078982
- Number of superdiagonal bargraphs with area n.at n=33A219282
- a(n) is equal to the n-th order Taylor polynomial (centered at 0) of S(x)^n evaluated at x = 1, where S(x) = (1 - x - sqrt(1 - 6*x + x^2))/(2*x) is the o.g.f. of the Schröder numbers A006318.at n=5A333090
- Number of compositions of n with a run of length > 2.at n=16A335464
- Triangle read by rows: T(n,k) = T(n,k-1) + T(n-1, k) + T(n-1,k-1) with T(n,0) = T(n, n) = 1 (n >= 0, 0 <= k <= n).at n=60A336858
- Mirror image of triangular array A336858.at n=60A336859
- Number of free polyominoes with n cells having simply-connected interiors.at n=10A342537
- Positions of zeros in A345055, which is the Dirichlet inverse of A011772.at n=36A345053
- Numbers k such that 1 is in the transitive closure of the map x -> A353313(x) when starting iterating from x=k.at n=55A353306
- Positions of zeros in A354875, which is the Dirichlet inverse of A344005.at n=10A354877