6588
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 17360
- Proper Divisor Sum (Aliquot Sum)
- 10772
- 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
- 2160
- Möbius Function
- 0
- Radical
- 366
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 137
- 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
- Convolved Fibonacci numbers.at n=7A001874
- Number of one-sided triangular polyominoes (n-iamonds) with n cells; turning over not allowed, holes are allowed.at n=11A006534
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=18A008654
- Numbers k such that phi(k) + 10 | sigma(k).at n=10A015801
- Least term in period of continued fraction for sqrt(n) is 6.at n=33A031430
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= 6.at n=10A037157
- Sums of 2 distinct powers of 3.at n=31A038464
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=34A039624
- Numbers having three 0's in base 9.at n=18A043455
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=21A045276
- Number of n X n binary matrices of order dividing 6 (i.e., number of solutions of X^6=I in GL(n,2)).at n=3A053771
- Sums of two powers of 3.at n=39A055235
- McKay-Thompson series of class 20b for Monster.at n=19A058557
- Bisection of Fibonacci triangle A037027: odd-indexed members of column sequences of A037027 (not counting leading zeros).at n=41A060921
- Number of degree-n even permutations of order dividing 6.at n=8A061130
- Numbers k such that sigma(k) = 2*usigma(k).at n=18A063880
- Numbers k such that prime(k+2)-(k+2)*tau(k+2) = prime(k-2)-(k-2)*tau(k-2) where tau(k) = A000005(k) is the number of divisors of k.at n=21A067354
- 1/5 the number of colorings of an n X n rhombic hexagonal array with 5 colors.at n=2A068272
- 1/5 the number of colorings of an n X n staggered hexagonal array with 5 colors.at n=2A068284
- Number of different (unlabeled) 2-cell embeddings of the n-wheel graph W_(n+1) on n+1 nodes into orientable surfaces.at n=3A069840