6336
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 42
- Divisor Sum
- 19812
- Proper Divisor Sum (Aliquot Sum)
- 13476
- 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
- 1920
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 9
- 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
- 31
- 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 domino tilings of 4 X (n-1) board.at n=10A005178
- Let j = | i - i_written_backwards |, k = j + j_written_backwards; then k is in this sequence.at n=33A008920
- Expansion of cos(sin(x))/cosh(x), even terms only.at n=4A009044
- Expansion of exp(sinh(x))/cos(x).at n=8A009225
- Expansion of e.g.f.: tan(x)*exp(sinh(x)).at n=8A009736
- Number of partitions of 2*n into at most 4 parts.at n=46A014126
- a(n) = T(n,n-3), where T is the array in A026374.at n=21A026382
- T(2n,n), T given by A026568.at n=7A026574
- T(n,[ n/2 ]), T given by A026568.at n=14A026579
- a(n) = T(2*n, n), where T is given by A026584.at n=7A026590
- a(n) = T(n, floor(n/2)), where T is given by A026584.at n=14A026595
- a(n) = (n+1)*binomial(n+5, 5).at n=7A027810
- a(n) = 66*(n+1)*binomial(n+5,11).at n=1A027816
- Number of perfect matchings (or domino tilings) in the graph P_9 X P_2n.at n=2A028471
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.at n=28A028701
- Theta series of 8-d 6-modular lattice G_2 tensor F_4 (or A_2 tensor D_4) with det 1296 and minimal norm 4 in powers of q^2.at n=11A028977
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=25A029720
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=13A031173
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 39.at n=24A031537
- Positive numbers k such that (k+1)*(k+2)*(k+3)*(k+4)/(k+(k+1)+(k+2)+(k+3)+(k+4)) is an integer.at n=17A032795