7826
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
- 16
- Divisor Sum
- 14784
- Proper Divisor Sum (Aliquot Sum)
- 6958
- 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
- 3024
- Möbius Function
- 1
- Radical
- 7826
- Omega Function (Ω)
- 4
- 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
- 145
- 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
- MacMahon's generalized sum of divisors function.at n=18A002128
- Number of ways to color vertices of a hexagon using <= n colors, allowing only rotations.at n=6A006565
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=36A025212
- Numbers that divide the sum of cubes of their divisors.at n=30A046763
- Number of n-bead necklaces with 6 colors.at n=6A054625
- T(n,k) = Sum_{d|k} phi(d)*n^(k/d)/k, triangle read by rows, T(n,k) for n >= 1 and 1 <= k <= n.at n=20A054630
- Triangle read by rows: row n (n >= 1) contains the numbers T(n,k) = Sum_{d|n} phi(d)*k^(n/d)/n, for k=1..n.at n=20A054631
- Number of equivalence classes of n-valued Post functions of 1 variable under action of complementing group C(1,n).at n=5A056665
- Numbers n such that n | 10^n + 9^n + 1.at n=26A057295
- The n-th n-gonal number: a(n) = n*(n^2 - 3*n + 4)/2.at n=26A060354
- Jablonski table T(n,k) read by antidiagonals: T(n,k) = number of necklaces with n beads of k colors.at n=60A075195
- a(n) = (5*n+1)*(5*n+6).at n=17A085025
- Number of intersections between a sphere inscribed in a cube and the n X n X n cubes resulting from a cubic lattice subdivision of the enclosing cube.at n=39A085690
- Fast "exotic addition" a o b = [ a[1]+b[1], a[1]*b[2]+a[2]*b[1] ].at n=26A175841
- Expansion of -2*x^2*(-3-2*x+x^2-x^3-2*x^4+x^5) / ( (1+x)^2*(x-1)^4 ).at n=25A178465
- Number of distinct n X 2 toroidal 0..5 arrays.at n=2A184289
- Number of distinct n X 3 toroidal 0..5 arrays.at n=1A184290
- Table read by antidiagonals: T(n,k) = number of distinct n X k toroidal 0..5 arrays.at n=7A184291
- Table read by antidiagonals: T(n,k) = number of distinct n X k toroidal 0..5 arrays.at n=8A184291
- Table read by antidiagonals: T(n,k) = number of distinct n X k toroidal 0..5 arrays.at n=15A184291