7716
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18032
- Proper Divisor Sum (Aliquot Sum)
- 10316
- 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
- 2568
- Möbius Function
- 0
- Radical
- 3858
- Omega Function (Ω)
- 4
- 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
- 57
- 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
- Number of lines through exactly 3 points of an n X n grid of points.at n=23A018810
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (composite numbers).at n=37A024860
- 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 58.at n=27A031556
- Right- or upward-moving paths connecting opposite corners of an n X n chessboard, visiting the diagonal in 0 up to (n-2) intermediate points between start and finish. Equivalently, subdivide the chessboard into 1 up to (n-1) blocks along the diagonal in all possible ways and sum the path-count over all sub-blocks.at n=5A075436
- Index of the primes in A084165.at n=17A084166
- a(n) = (1/24)*(n+1)*(n+3)*(n^2+22*n+88).at n=16A090950
- Antidiagonal sums of array A007754.at n=7A099934
- Numbers k such that the sum of the first k primes is prime and the sum of the squares of the first k primes is also prime.at n=35A124225
- a(0)=2, a(n) = n^2+a(n-1).at n=28A153056
- a(n) = 4*n^2 + 24*n + 8.at n=40A153642
- a(n) = A056520(n)+1 for n>0, a(0)=1.at n=28A179904
- Position of 2^n in A051037 (5-smooth numbers).at n=53A188425
- Number of arrangements of n+1 nonzero numbers x(i) in -8..8 with the sum of trunc(x(i)/x(i+1)) equal to zero.at n=2A189544
- T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of trunc(x(i)/x(i+1)) equal to zero.at n=47A189545
- Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of trunc(x(i)/x(i+1)) equal to zero.at n=7A189547
- Number of 0..4 arrays x(0..n-1) of n elements with nondecreasing average value and 0..4 occur with instance counts within one of each other.at n=11A200940
- G.f. satisfies: A(x) = 1 + x/A(-x*A(x)^12)^6.at n=5A213105
- Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n.at n=41A219965
- Number T(n,k) of tilings of an n X k rectangle using integer-sided square tiles reduced for symmetry, where the orbits under the symmetry group of the rectangle, D2, have 4 elements; triangle T(n,k), k >= 1, 0 <= n < k, read by columns.at n=33A224867
- Number of partitions of n such that (number of distinct parts) = m(1) - m(2), where m = multiplicity.at n=49A240055