10335
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 7809
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 1
- Radical
- 10335
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 179
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of graphs with n nodes, n-2 edges and no isolated vertices.at n=11A006647
- a(n) = n*(23*n - 1)/2.at n=30A022280
- a(0)=a(1)=3; thereafter a(n) = a(n-1) + a(n-2) + 1.at n=17A022403
- a(0)=3, a(1)=7; thereafter a(n) = a(n-1) + a(n-2) + 1.at n=16A022406
- Positive numbers having the same set of digits in base 6 and base 10.at n=22A037437
- a(n) = -a(n-1) - a(n-2) + a(n-3), a(0)=3, a(1)=-1, a(2)=-1.at n=34A073145
- Expansion of (3 + 2*x + 3*x^2)/(1 + x + 3*x^2 - x^3).at n=17A073496
- Starting positions of strings of three 6's in the decimal expansion of Pi.at n=7A083625
- Number of primes in range [2^n+1, 2^(n+1)] whose binary expansion begins '10' (A080165).at n=17A095765
- Number of nondecreasing integer sequences of length 6 with sum zero and sum of absolute values 2n.at n=26A158140
- The sum of all odd numbers from 2*n-1 to prime(n).at n=47A163637
- A symmetrical triangle based on Narayana numbers and Eulerian numbers of type B: T(n, k) = 2 + A060187(n, k) - 2*binomial(n, k)*binomial(n+1, k)/(k+1).at n=23A176291
- A symmetrical triangle based on Narayana numbers and Eulerian numbers of type B: T(n, k) = 2 + A060187(n, k) - 2*binomial(n, k)*binomial(n+1, k)/(k+1).at n=25A176291
- Numbers that have 9 terms in their Zeckendorf representation.at n=26A179249
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+193)^2 = y^2.at n=8A185394
- Number of 3-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=34A187508
- Triangular array read by rows. T(n,k) is the number of partial functions on {1,2,...,n} that are endofunctions with no cycles of length > 1 that have exactly k components.at n=23A203092
- Total area of the shadows of the three views of the shell model of partitions, version "Tree", with n shells.at n=18A210980
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x=3y+3z.at n=46A212566
- Number of dominating subsets of the graph G(n) obtained by joining a vertex with two consecutive vertices of the cycle graph C_n (n >= 3).at n=11A213665