6794
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10560
- Proper Divisor Sum (Aliquot Sum)
- 3766
- 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
- 3276
- Möbius Function
- -1
- Radical
- 6794
- 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
- 62
- 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
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=42A025524
- a(n) = A027170(2n, n-1).at n=5A027173
- Numbers with exactly five distinct base-9 digits.at n=24A031986
- Triangle of number of rises in restricted growth strings (RGS) for the set partitions of n.at n=41A056858
- n coded as binary word of length=n with k-th bit set iff k is prime (1<=k<=n), decimal value.at n=13A072762
- a(n) = A051201(n^2).at n=37A078163
- Sum of composite numbers less than n-th prime.at n=31A079725
- Dropping first and last digit of n leaves its largest prime factor.at n=30A114565
- Start with 1 and repeatedly reverse the digits and add 61 to get the next term.at n=37A118156
- Numbers k such that binomial(4k, k) + 1 is prime.at n=24A125241
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, -1), (1, 0, 1), (1, 1, -1), (1, 1, 0)}.at n=7A150460
- Fourth row of A166091. Positions of 7's in A166086.at n=35A166056
- Number of 3-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=21A187298
- Number of n X 3 0..3 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope.at n=3A223063
- Number of nX4 0..3 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope.at n=2A223064
- T(n,k)=Number of nXk 0..3 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope.at n=17A223066
- T(n,k)=Number of nXk 0..3 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope.at n=18A223066
- Numbers of triples {x, y, z} such that z >= y > 1 and prime(x) + prime(y) * prime(z) = 2^n.at n=18A225536
- Expansion of Product_{k>=1} 1/(1 - k*(x^(2*k-1))).at n=24A266137
- Number of nX7 0..1 arrays with every element equal to 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.at n=8A298054