2016
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 4536
- 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
- 576
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 8
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 112
- 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
- Order of the group SL(2,Z_n).at n=13A000056
- Number of ways of writing n as a sum of 8 squares.at n=5A000143
- Number of invertible 2 X 2 matrices mod n.at n=6A000252
- Number of permutations of [n] in which the longest increasing run has length 2.at n=6A000303
- Hexagonal numbers: a(n) = n*(2*n-1).at n=32A000384
- Number of n-step self-avoiding walks on f.c.c. lattice ending at point with x = 2.at n=2A000767
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=17A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=17A002706
- Ferromagnetic susceptibility series for f.c.c. lattice.at n=21A002924
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=26A003451
- a(n) = 2^(n-1)*(2^n - (-1)^n).at n=6A003674
- Theta series of E_8 lattice with respect to deep hole.at n=4A004017
- Binomial coefficient C(8n,n-6).at n=2A004387
- Number of 2 X 2 matrices with entries mod n and nonzero determinant.at n=6A005353
- a(1) = 1, a(2) = 0; for n > 2, a(n) = n*Fibonacci(n-2) (with the convention Fibonacci(0)=0, Fibonacci(1)=1).at n=13A006490
- a(n) = 2^(n-1)*(2^n - 1), n >= 0.at n=6A006516
- Dual pairs of integrals arising from reflection coefficients.at n=12A007179
- Number of distinct perforation patterns for deriving (v,b) = (n+2,n) punctured convolutional codes from (4,1).at n=2A007229
- Coordination sequence T2 for Zeolite Code MAZ.at n=31A008145
- Coordination sequence T8 for Zeolite Code MFS.at n=28A008180