3505
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4212
- Proper Divisor Sum (Aliquot Sum)
- 707
- 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
- 2800
- Möbius Function
- 1
- Radical
- 3505
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 56
- Smith Number
- yes
- 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
- Number of achiral planted trees with n nodes.at n=17A005627
- Number of binary vectors of length n+1 beginning with 0 and containing just 1 singleton.at n=16A006367
- Coordination sequence T7 for Zeolite Code MTW.at n=39A008202
- Triangle of multi-edge stars with n edges by cyclotomic index.at n=59A010358
- Expansion of 1/(1 - x^2 - x^3 - x^4) = 1/((1 + x)*(1 - x - x^3)).at n=24A013979
- Number of Hamiltonian paths in a 4 X (2n+1) grid starting at the lower left corner and finishing in the upper right corner.at n=5A014523
- Coordination sequence T3 for Zeolite Code CGF.at n=41A019453
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=25A024842
- Partial sums of the partition numbers A000041 of the positive integers.at n=20A026905
- Odd composite numbers n such that the digit sum of n equals digit sum of sum of its prime factors (counted with multiplicity).at n=42A036923
- Digit sum of 'odd' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=24A036927
- Cycle lengths of the permutation that converts the forest of depth-first planar planted binary trees into breadth-first representation.at n=38A038774
- Numbers n > 99 with following property: form a sequence whose initial terms are the t digits of n, later terms given by rule b(i+1) = b(i) + product of t-1 previous terms; then n itself appears in the sequence.at n=4A042983
- Numbers having three 6's in base 8.at n=19A043447
- Numbers n such that string 0,5 occurs in the base 10 representation of n but not of n-1.at n=37A044337
- Numbers n such that string 0,5 occurs in the base 10 representation of n but not of n+1.at n=37A044718
- Numbers whose base-5 representation contains exactly three 0's and two 1's.at n=35A045171
- Becomes prime after exactly 6 iterations of f(x) = sum of prime factors of x.at n=30A047825
- Coordination sequence T3 for Zeolite Code DON.at n=40A047955
- a(n) = T(8,n), array T given by A048505.at n=5A048513