7956
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 22932
- Proper Divisor Sum (Aliquot Sum)
- 14976
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 1326
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 26
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Coordination sequence for CaF2(1), Ca position.at n=30A009923
- Areas of right triangles with coprime integer sides.at n=38A024365
- Ordered areas of primitive Pythagorean triangles.at n=40A024406
- Numbers having four 0's in base 6.at n=19A043372
- a(n) = LCM(binomial(n,0), ..., binomial(n,n)) / binomial(n,floor(n/2)).at n=37A048619
- a(n) = a*b = x*y with (a-b) = (x+y) = A020882(n) (a>b, a>0, b>0, x>0, y>0), gcd(a, b) = gcd(x, y) = 1.at n=29A057229
- Numbers k such that phi(x) = k has exactly 10 solutions.at n=40A060673
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=36A063346
- a(n) = lcm(1,2,...,2*n) / (n*binomial(2*n, n)).at n=18A068553
- Numbers k such that binomial(prime(k), k) is divisible by k^2.at n=22A081384
- Expansion of (1+4x+7x^2)/((1-x)^2*(1-x^2)).at n=51A090381
- Numbers n occurring in binary representation of n*(n+1)/2.at n=38A092734
- Fifth column (m=4) of (1,6)-Pascal triangle A096956.at n=15A096958
- Numbers k such that k and 4*k, taken together, are zeroless pandigital, that is, use all the digits 1-9 exactly once.at n=3A115929
- a(n) = lcm(1,...,2n+4)/((n+1)*binomial(2n+2, n+1)).at n=18A119636
- Order of the following permutation on 3n+1 symbols. Write the 3n+1 symbols horizontally into a 3-column grid and read them off vertically, i.e., column after column.at n=32A119980
- Area of primitive Pythagorean triangles sorted on hypotenuse (A020882), then on middle side (or long leg A046087).at n=28A120734
- a(1) = 1; a(n) = max{ 5*a(k) + a(n-k) | 1 <= k <= n/2 } for n > 1.at n=35A130667
- a(n) = n^5 + n^3 - n^2.at n=6A133072
- Triangle read by rows: T(n,k) is the number of paths of length n in the first quadrant, starting at the origin, ending at height k and consisting of 2 kind of upsteps U=(1,1) (U1 and U2), 3 kind of flatsteps F=(1,0) (F1, F2 and F3) and 1 kind of downsteps D=(1,-1).at n=22A134426