6773
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7308
- Proper Divisor Sum (Aliquot Sum)
- 535
- 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
- 6240
- Möbius Function
- 1
- Radical
- 6773
- 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
- 36
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^13), where phi is the golden ratio, A001622.at n=13A004928
- a(n) = round(n*phi^13), where phi is the golden ratio, A001622.at n=13A004948
- Positive numbers having the same set of digits in base 6 and base 9.at n=31A037436
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 8.at n=33A051973
- Concatenations of pairs of primes that differ by 6.at n=12A103206
- a(n) = smallest k such that A114266(k) = n.at n=39A114267
- a(n) = floor(n*t^n), where t=golden ratio=(1+sqrt(5))/2.at n=12A128439
- a(n) = n*Lucas(n).at n=13A146005
- Trajectory of 7 under the map m -> A082010(m).at n=41A152199
- Semiprimes for which dropping any digit gives a prime number.at n=42A178423
- Number of nondecreasing strings of numbers x(i=1..6) in -n..n with sum x(i)^3 equal to 0.at n=27A188280
- Principal diagonal of the convolution array A213781.at n=25A213782
- Number of power series 1 + c_1*x^1 + c_2*x^2 + ... + c_{n-1}*x^{n-1} + O(x^n) with c_k in {-1, 0, 1} whose reciprocal has the same property.at n=12A244629
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 569", based on the 5-celled von Neumann neighborhood.at n=45A272991
- Numbers k such that k!6 - 48 is prime, where k!6 is the sextuple factorial number (A085158).at n=25A289701
- p-INVERT of the squares (A000290), where p(S) = 1 + S - 3 S^2.at n=5A292536
- Number of (not necessarily maximal) cliques in the n X n knight graph.at n=37A295905
- Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4 or 8 king-move adjacent elements, with upper left element zero.at n=10A305240
- Partial sums of A108754.at n=30A307673
- Let P1>=5, P2, P3 be consecutive primes, with P2-P1=2. a(n)=(P1+P2)/12 when P3-P2 sets a record.at n=11A329160