6766
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 4034
- 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
- 3168
- Möbius Function
- -1
- Radical
- 6766
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 137
- 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
- Essentially the same as A001611.at n=18A000381
- a(n) = Fibonacci(n) + 1.at n=20A001611
- Inverse Möbius transform of A003965.at n=60A003981
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=34A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=34A004946
- a(n) = Fibonacci(n) + (-1)^n.at n=20A008346
- a(n+1) = a(n) - F(n) if > 0, otherwise a(n) + F(n), where F() are Fibonacci numbers; a(0) = 0.at n=21A011369
- Pisot sequences L(4,6), E(4,6).at n=16A020706
- Pisot sequences L(6,9), E(6,9).at n=15A020717
- 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 82.at n=4A031580
- Numbers with exactly five distinct base-9 digits.at n=8A031986
- Number of partitions satisfying cn(0,5) + cn(2,5) <= cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) <= cn(1,5) + cn(4,5).at n=32A039887
- Numbers having three 6's in base 10.at n=30A043515
- Pisot sequence L(3,4).at n=17A048577
- 14-gonal (or tetradecagonal) numbers: a(n) = n*(6*n-5).at n=34A051866
- Expansion of (2-6*x+4*x^2-x^3)/((1-x)*(1-3*x+x^2)).at n=10A052925
- a(n) = 4*n^2 - 7*n + 4.at n=41A054567
- a(n) = 3*a(n-1) - a(n-2) - 1 with a(0) = 1 and a(1) = 2.at n=10A055588
- Numbers that are Fibonacci numbers plus or minus 1.at n=35A061489
- a(n) = Fibonacci(4n) + 1, or Fibonacci(2n-1)*Lucas(2n+1).at n=5A081002