7735
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 4361
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 1
- Radical
- 7735
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 83
- 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
- a(n) = (n-1)*n*(n+4)/6.at n=35A005581
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=39A013593
- Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(3,5).at n=25A018917
- Pseudoprimes to base 69.at n=31A020197
- G.f.: 1/((1-x)(1-4x)(1-10x)(1-12x)).at n=3A021994
- Numbers with exactly 7 1's in their ternary expansion.at n=27A023698
- Values of Newton-Gregory forward interpolating polynomial (1/3)*(n-1)*(2*n+3)*(2*n-1).at n=18A030440
- Number of aperiodic necklaces of n beads of 6 colors; dimensions of free Lie algebras.at n=6A032164
- Sum of n-th powers of divisors of 72.at n=2A034671
- Positive numbers having the same set of digits in base 6 and base 9.at n=36A037436
- a(1)=6; if n = Product p_i^e_i, n>1, then a(n) = Product p_{i+1}^e_i * Product p_{i+2}^e_i.at n=32A045969
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n+1)/3.at n=19A048045
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n+2)/3.at n=19A048078
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n+3)/3.at n=19A048089
- Smallest composite x such that sigma(x+2^n) = sigma(x) + 2^n.at n=10A054987
- Sum of square divisors of n! = sum of squares of divisors of the square root of largest square dividing n!.at n=8A055928
- Sides of integer Heronian triangles [A068967(n), prime(A068967(n)), a(n)] with area A068969(n).at n=16A068968
- Composite numbers k with no prime factor among (2, 3) (cf. A038509) and such that phi(k) < 2*k/3.at n=26A069043
- Numbers n such that the Diophantine equation x^4+y^5=n^4 has solutions.at n=20A070756
- Table T(n,k) read by downward antidiagonals: number of Lyndon words (aperiodic necklaces) with n beads of k colors, n >= 1, k >= 1.at n=60A074650