3506
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5262
- Proper Divisor Sum (Aliquot Sum)
- 1756
- 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
- 1752
- Möbius Function
- 1
- Radical
- 3506
- 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
- 56
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{k=0..n} p(k) where p(k) = number of partitions of k (A000041).at n=21A000070
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=26A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=26A000451
- Values of m in the discriminant D = -4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k=1..oo} Kronecker(D,k)/k.at n=18A003420
- Coordination sequence T2 for Zeolite Code AFO.at n=39A008016
- Coordination sequence T1 for Zeolite Code LEV.at n=44A008127
- Coordination sequence T2 for Zeolite Code MEL.at n=38A008151
- Coordination sequence T1 for Zeolite Code WEI.at n=42A009917
- Coordination sequence T2 for Zeolite Code WEI.at n=43A009918
- Coordination sequence for FeS2-Marcasite, Fe position.at n=29A009955
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T5 atom.at n=11A019162
- Number of palindromic partitions of n.at n=42A025065
- Number of palindromic partitions of n.at n=43A025065
- a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.at n=25A025414
- Least sum of 3 distinct nonzero squares in exactly n ways.at n=24A025415
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 58.at n=11A031556
- Number of bicentered 6-valent trees with n nodes.at n=15A036652
- Shifts left under inverse Euler transform.at n=42A038071
- Number of partitions satisfying cn(1,5) <= 1 and cn(4,5) <= 1.at n=37A039854
- Numbers having three 6's in base 8.at n=20A043447