16016
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 41664
- Proper Divisor Sum (Aliquot Sum)
- 25648
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 2002
- 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
- 146
- 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
- Degrees of irreducible representations of symmetric group S_13.at n=94A003877
- Number of graphical partitions (degree-vectors for simple graphs with n vertices, or possible ordered row-sum vectors for a symmetric 0-1 matrix with diagonal values 0).at n=10A004251
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=19A004929
- Number of closed meander systems of order n+1 with n components.at n=6A006659
- Triangle read by rows: T(n,k) = number of closed meander systems of order n with k<=n components.at n=34A008828
- Expansion of Jacobi theta constant (theta_2/2)^12.at n=9A014787
- Expansion of 1/((1-2*x)*(1-6*x)*(1-8*x)).at n=4A016305
- Expansion of g.f. (x^3 - 6*x^2 + 5*x - 1)/((2*x - 1)*(2*x^2 - 4*x + 1)).at n=10A024175
- Elements to the right of the central elements of the even-Pascal triangle A028326 that are not 2.at n=50A028331
- Distinct elements to the right of the central elements of the even-Pascal triangle A028326.at n=48A028332
- One half of tenth unsigned column of Lanczos triangle A053125 (decreasing powers).at n=2A054332
- Coefficient triangle of certain polynomials N(5; m,x).at n=39A062190
- Square array read by antidiagonals of number of length 2k walks on an n-dimensional hypercubic lattice starting and finishing at the origin and staying in the nonnegative part.at n=40A064045
- Triangle read by rows: T(n,k) gives number of ways of arranging n chords on a circle with k simple intersections (i.e., no intersections with 3 or more chords) - positive values only.at n=47A067311
- Numbers n of the form k + reverse(k) for exactly three k.at n=35A071914
- Denominator of the generalized harmonic number H(n,5,1).at n=5A075138
- n repeated in decimal representation, but separated by enough zeros that the square has the pattern (n^2)(2n^2)(n^2).at n=15A077431
- Triangle read by rows of number of Catalan paths (nonnegative, starting and ending at 0, step +/-1) of 2n steps with all values less than or equal to k.at n=50A080935
- Numbers whose name in American English is a word-palindrome, reading the same forward and backward.at n=24A081365
- Triangle read by rows: T(n,k) is the number of dissections of a convex n-gon by nonintersecting diagonals, having exactly k triangles (n >= 2, k >= 0).at n=49A090985