6583
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6840
- Proper Divisor Sum (Aliquot Sum)
- 257
- 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
- 6328
- Möbius Function
- 1
- Radical
- 6583
- 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
- 137
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of g.f. Product_{k >= 1} (1 - x^k)^(-k*(k+1)/2).at n=11A000294
- Let y=f(x) satisfy F(x,y)=0. a(n) is the number of terms in the expansion of (d/dx)^n y in terms of the partial derivatives of F.at n=10A003262
- Powers of cube root of 11 rounded down.at n=11A018006
- Powers of cube root of 11 rounded to nearest integer.at n=11A018007
- Numbers k such that 4*5^k - 1 is prime.at n=14A046865
- Truncated triangular pyramid numbers: a(n) = (n-5)*(n^2 + 8*n - 66)/6.at n=28A051939
- Numbers k such that sigma(k) - phi(k) is a cube.at n=30A062385
- Numbers k such that sigma(k) divides sigma(phi(k)).at n=29A066831
- Numbers n such that sigma(phi(n))/sigma(n) = 2.at n=19A067382
- Numbers m such that the positive values of m - A002110(k) are all primes (k > 0).at n=31A068372
- n*nextprime((n-1)!)-nextprime(n!).at n=29A089014
- a(n) = floor(Li(2^n)), where Li(x) is the integral from 0 to x of dt/log(t).at n=15A089897
- Integers of the form ((k-1)!*2^(k-1) + 1)/k.at n=3A091825
- Triangle T, read by rows, such that the matrix cube shifts T one place diagonally left and upward, with T(n, 0) = T(n, n) = 1 for n>=0.at n=56A096744
- Column with index 1 of triangle A096744, which shifts one place diagonally left and upward under the matrix cube operation.at n=9A096745
- a(n) = n*(8*n-5).at n=29A139272
- Position of cubes in the EKG sequence (A064413).at n=18A140418
- Floor[(n^n)^(1/3)].at n=10A147772
- a(n) = round((n^n)^(1/3)).at n=10A147773
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, -1), (1, -1, 0), (1, 1, 1)}.at n=7A149776