3542
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 3370
- 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
- 1320
- Möbius Function
- 1
- Radical
- 3542
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 56
- 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
- yes
- Odd
- no
Appears in sequences
- Generalized sum of divisors function.at n=41A002132
- Number of compositions of n such that no two adjacent parts are equal (these are sometimes called Carlitz compositions).at n=16A003242
- a(n) = floor(Fibonacci(n)/5).at n=22A004698
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=11A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=11A004967
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=42A006918
- a(n) = 2*binomial(n,3).at n=23A007290
- Expected number of random moves in Tower of Hanoi problem with n disks starting with a randomly chosen position and ending at a position with all disks on the same peg.at n=6A007798
- Coordination sequence T3 for Zeolite Code AEI.at n=45A008003
- Theta series of {D_7}* lattice.at n=36A008423
- Number of ways of writing n as a sum of 7 squares.at n=9A008451
- Aliquot sequence starting at 180.at n=45A008891
- Coordination sequence T2 for Zeolite Code VET.at n=36A009903
- Multiplicity of K_3 in K_n.at n=46A014557
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=31A014569
- Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(3).at n=12A014696
- Coordination sequence T3 for Zeolite Code OSI.at n=39A016432
- a(n) = n*(9*n + 1)/2.at n=28A022267
- Theta series of A*_22 lattice.at n=30A023934
- Expansion of 1/((1-3x)(1-5x)(1-6x)(1-8x)).at n=3A028054