16488
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 44850
- Proper Divisor Sum (Aliquot Sum)
- 28362
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5472
- Möbius Function
- 0
- Radical
- 1374
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- Expansion of (2 - x)^4/(1 - x)^8.at n=7A006637
- Number of n-bead black-white reversible strings with fundamental period n.at n=15A045625
- Number of primitive (aperiodic) reversible strings with n beads using exactly two different colors.at n=14A056318
- Numbers k such that z(k) = j(k), where z(k) = sopf(k - d(k)), j(k) = d(sopf(k) + k), sopf(k) = A008472(k) and d(k) = A000005(k).at n=21A063961
- Number of different values assumed by a/b+c/d as a,b,c,d range between 1 and n.at n=18A119868
- Total number of nonprime parts in all partitions of n.at n=26A144119
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208660; see the Formula section.at n=58A208904
- Principal diagonal of the convolution array A213765.at n=8A213766
- 4 X 4 square grid graph coloring a rectangular array: number of n X 1 0..15 arrays where 0..15 label nodes of the square grid graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=6A223395
- 4X4 square grid graph coloring a rectangular array: number of nX7 0..15 arrays where 0..15 label nodes of the square grid graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=0A223401
- T(n,k)=4X4 square grid graph coloring a rectangular array: number of nXk 0..15 arrays where 0..15 label nodes of the square grid graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=21A223402
- T(n,k)=4X4 square grid graph coloring a rectangular array: number of nXk 0..15 arrays where 0..15 label nodes of the square grid graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph.at n=27A223402
- Triangle with first column identical to 1 and the other entries defined by the sum of entries above and to the left.at n=41A226392
- Number of (n+2)X(1+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards.at n=0A234047
- T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards.at n=0A234054
- Number of (1+2) X (n+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards.at n=0A234055
- Number of length 2+2 0..n arrays with no three consecutive terms having the sum of any two elements equal to twice the third.at n=10A248463
- Expansion of Product_{k>=0} ((1+x^(4*k+1))/(1-x^(4*k+1)))^3.at n=18A261652
- a(n) = n*(n-1)/2 + 2^(n-1) - 1.at n=14A335439
- Number of pairwise coprime strict compositions of n, where a singleton is not considered coprime unless it is (1).at n=43A337561