8026
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12042
- Proper Divisor Sum (Aliquot Sum)
- 4016
- 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
- 4012
- Möbius Function
- 1
- Radical
- 8026
- 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
- 44
- 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 inequivalent planar partitions of n, when considering them as 3D objects.at n=19A000786
- Numbers k such that the continued fraction for sqrt(k) has period 79.at n=7A020418
- "AFK" (ordered, size, unlabeled) transform of 2,2,2,2,...at n=16A032005
- Numbers whose base-6 representation has exactly 6 runs.at n=24A043614
- Duplicate of A000786.at n=18A048239
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=32A092231
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having abscissa of the first return to the x-axis equal to 2k (1 <= k <= n).at n=47A129159
- Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*x(i)^2 zero.at n=14A188006
- Number of n X 3 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=31A201272
- Expansion of f(-x^5)^10 / f(-x)^2 in powers of x where f() is a Ramanujan theta function.at n=45A243938
- Expansion of Product_{k>=1} ((1+x^k)/(1-x^k))^(Fibonacci(k)).at n=12A260916
- Number of palindromic squares with at most n digits.at n=64A263619
- P-positions for the subtraction game whose allowed moves are the practical numbers (A005153).at n=28A275432
- Number of partitions of partitions of n where all partitions have the same sum.at n=27A305551
- a(n) = Sum_{k=1..n} binomial(floor(n/k)+3,4).at n=18A365409
- Value of A121805(k) for k = A367358(n).at n=20A367359
- a(n) is the number of n-celled polyplets (polyominoes connected at edges or corners) in the {4,5} tessellation of the hyperbolic plane.at n=5A390200