8044
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
- 6
- Divisor Sum
- 14084
- Proper Divisor Sum (Aliquot Sum)
- 6040
- 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
- 4020
- Möbius Function
- 0
- Radical
- 4022
- Omega Function (Ω)
- 3
- 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
- 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
- Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.at n=30A002892
- Coordination sequence for FeS2-Marcasite, S position.at n=44A009954
- Number of ordered 5-tuples of integers from [ 1..n ] with no global factor.at n=13A015650
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=4A031832
- a(n) = (9*n^2 + 5*n + 2)/2.at n=42A064225
- Sum of absolute values of terms in n-th row of A065432.at n=16A065441
- a(n) = floor((n+2)^(n+2)/n^n).at n=32A078111
- Number of words of weight n in the free central groupoid on one generator.at n=12A079494
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=34A098499
- Modified Schroeder numbers for q=3.at n=58A114292
- A binomial recursion: a(n) is the coefficient of x in z(n), where z(1) = x and z(n) = 1 + Sum_{k=1..n-1} (binomial(n,k) + 1)*z(k) for n > 1.at n=5A135074
- Positions of hexagonal pyramidal numbers in the EKG sequence.at n=22A144080
- Upper s-Wythoff sequence, where s=A081276 (eighth cubes). Complement of A184431.at n=38A184432
- Number of strings of numbers x(i=1..n) in 0..2 with sum i*x(i)^2 equal to n*4.at n=15A184434
- Number of strictly increasing arrangements of n nonzero numbers in -(2n-2)..(2n-2) with sum zero.at n=6A188113
- Number of strictly increasing arrangements of n nonzero numbers in -(n+5)..(n+5) with sum zero.at n=6A188120
- Number of strictly increasing arrangements of 7 nonzero numbers in -(n+5)..(n+5) with sum zero.at n=6A188126
- O.g.f. satisfies: A(x) = Sum_{n>=0} n^n * x^n * A(n^2*x)^n/n! * exp(-n*x*A(n^2*x)).at n=5A218681
- Number of partitions p of n such that median(p) >= multiplicity(min(p)).at n=36A240216
- Number of length n+5 0..3 arrays with some three disjoint pairs in each consecutive six terms having the same sum.at n=13A248484