6552
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 21840
- Proper Divisor Sum (Aliquot Sum)
- 15288
- 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
- 1728
- Möbius Function
- 0
- Radical
- 546
- Omega Function (Ω)
- 7
- 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
- yes
- 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
- Number of ways of writing n as a sum of 6 squares.at n=20A000141
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=37A000338
- Number of 4 X n normalized Latin rectangles.at n=2A000573
- a(n) is the number of (n-2) X n normalized Latin rectangles.at n=3A000576
- Triangle giving number L(n,k) of normalized k X n Latin rectangles.at n=18A001009
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=25A001766
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=25A002790
- Theta series of E_6 lattice.at n=9A004007
- Define predecessors of n, P(n), to consist of numbers whose binary representation is obtained from that of n by replacing 10 with 01 or changing a final 1 to a 0; then a(0)=1, a(n) = Sum a(P(n)), n>0.at n=54A004065
- Theta series of {E_6}* lattice.at n=27A005129
- Denominators of Cauchy numbers of first type.at n=25A006233
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=52A006918
- a(n) = 2*binomial(n,3).at n=28A007290
- Number of 5-leaf rooted trees with n levels.at n=12A007715
- Theta series of {D_6}* lattice.at n=40A008425
- Theta series of D_6 lattice.at n=10A008428
- Theta series of {D_6}^{+} lattice.at n=40A008434
- Triangle read by rows: number of P-graphs by number of edges and number of non-root nodes.at n=25A011268
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/5).at n=15A011915
- Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, a royal flush, or 5 of a kind in 5-card poker when joker is wild.at n=6A014356