13106
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19662
- Proper Divisor Sum (Aliquot Sum)
- 6556
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6552
- Möbius Function
- 1
- Radical
- 13106
- 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
- 138
- Smith Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = [ 2nd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n.at n=36A025219
- Numbers whose set of base-16 digits is {2,3}.at n=28A032816
- A014486-encoding of plane binary trees (Stanley's d) whose interior zigzag-tree (Stanley's c, i.e., tree obtained by discarding the outermost edges of the binary tree) is isomorphic to a valid plane binary tree (Stanley's d).at n=4A080299
- a(0) = 2 and, for n >= 1, rewrite 0->100 in the binary expansion of n and append 10 to the right.at n=42A080310
- Number of base-2 strong pseudoprimes (A001262) less than 2^n.at n=37A108797
- sigma(n) + n is a cube.at n=7A114070
- G.f.: (4*x^2 + 2*x)/(4*x^3 - x^2 - 4*x + 1).at n=7A115243
- a(n) = floor(n*2*(3^n-2^n)/2^n).at n=14A139754
- a(n) = floor(A140657(n+2)/10).at n=15A140659
- E.g.f. exp(x+1/6*x^3+1/24*x^4).at n=10A190729
- Numbers such that Liouville's function (A002819) and the little omega analog to Liouville's function (A174863) are equal.at n=38A224987
- Number T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=3, 0<=k<=2*floor(n/3), read by rows.at n=60A238556
- G.f. A(x) satisfies: A'(x) = 2 * Series_Reversion( x - A(x)*A'(x) ).at n=5A259271
- Positions of records in A268672.at n=20A268713
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 126", based on the 5-celled von Neumann neighborhood.at n=13A274059
- Number of (not necessarily maximal) cliques in the n X n king graph.at n=36A295906
- Number of pairs (lambda,mu) of partitions lambda of n and mu of five with mu <= lambda (by diagram containment).at n=20A303855
- Nullspace dimension of the periodic XX Heisenberg chain with n > 1 sites.at n=18A392387