9278
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13920
- Proper Divisor Sum (Aliquot Sum)
- 4642
- 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
- 4638
- Möbius Function
- 1
- Radical
- 9278
- 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
- 91
- 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
- Number of similarity classes of triangles which can be drawn using the lattice points in an n X n grid for vertices.at n=16A028492
- Number of partitions of n^3 into distinct cubes.at n=39A030272
- 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 96.at n=2A031594
- Growth function of an infinite cubic graph (number of nodes at distance <=n from fixed node).at n=27A038621
- Number of even nontotients not exceeding 2^n.at n=14A072077
- a(n) = n^3 + 17.at n=21A084379
- Combinatorial twin prime formulas. This sequence gives the coefficients a(n) of combinatorial sum formulas of n-th twin primes or lesser: twin_prime(n) = 2^(n-6)/(n-1)! Sum_{i=1..n} a(i) * C(n-1,i-1) * (i+2-n).at n=7A119362
- Combinatorial prime formulas. This sequence gives the coefficients a(n) of combinatorial sum formulas of n-th primes or lesser: prime(n) = 2^(n-5)/(n-1)! Sum_{i=1..n} a(i) * C(n-1,i-1) * (1-(n-i)/2).at n=7A120315
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k LL's (n >= 0; 0 <= k <= n-2 for n >= 2).at n=51A128724
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 3,2 4,1 polyhexes in any orientation on a planar nXnXn triangular grid.at n=6A155288
- Number of -n..n arrays x(0..4) of 5 elements with zero sum and no element more than one greater than the previous.at n=14A199849
- Number of -n..n arrays x(0..6) of 7 elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern).at n=24A200185
- Floor(sqrt(2*3^n)).at n=16A221944
- Number of partitions p of n such that 2*(number of even numbers in p) <= (number of odd numbers in p).at n=39A241652
- Number of (n+1) X (2+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.at n=8A250605
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.at n=46A250611
- Partial sums of A255283.at n=31A255428
- Numbers k such that [r[s*k]] - [s[r*k]] = -2, where r = sqrt(2), s=sqrt(3), and [ ] = floor.at n=42A259584
- Sums of the next n consecutive nonsquare integers.at n=26A275740
- Number of compositions (ordered partitions) of n into unitary divisors of n.at n=24A286851