16260
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 45696
- Proper Divisor Sum (Aliquot Sum)
- 29436
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 8130
- Omega Function (Ω)
- 5
- 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
- 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
- Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n-7)*(2*n^2-11*n+18).at n=26A030434
- Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n - 3)*(2*n^2 - 3*n + 4).at n=24A030441
- Numbers k such that k and k+1 have the same sum of squarefree divisors, or sqf(k) = sqf(k+1), where sqf(k) = A048250(k).at n=9A063964
- G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)^2).at n=23A083708
- Indices of prime Perrin numbers; values of n such that A001608(n) is prime.at n=27A112881
- Number of 2n X 3n (0,1,2)-matrices with every row sum 3 and column sum 2.at n=1A134645
- The fourth row of the ED4 array A167584.at n=7A167586
- Number of 2*n X 4 0..2 arrays with row sums 2 and column sums n.at n=2A172660
- Number of 2*n X 6 0..2 arrays with row sums 3 and column sums n.at n=1A172661
- Number of 2*n X 6 0..3 arrays with row sums 3 and column sums n.at n=1A172758
- A symmetrical triangle of polynomial coefficients:p(x,n)=Sum[(1 + Binomial[n, m]*x)^m*(1 - Binomial[n, m]*x)^(n - m) + (x + Binomial[n, m])^m*(x - Binomial[n, m])^(n - m), {m, 0, n}].at n=16A176389
- A symmetrical triangle of polynomial coefficients:p(x,n)=Sum[(1 + Binomial[n, m]*x)^m*(1 - Binomial[n, m]*x)^(n - m) + (x + Binomial[n, m])^m*(x - Binomial[n, m])^(n - m), {m, 0, n}].at n=19A176389
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209161; see the Formula section.at n=50A209160
- Greatest number (in decimal representation) with n nonprime substrings in base-7 representation (substrings with leading zeros are considered to be nonprime).at n=6A217117
- Number of line segments in an H tree with n levels that have no correspondence with the toothpicks of the toothpick structure of A139250 after n-th stage.at n=14A220499
- Number of nondecreasing -2..2 vectors of length n whose dot product with some lexicographically greater or equal nondecreasing -2..2 vector equals n.at n=22A226416
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 411", based on the 5-celled von Neumann neighborhood.at n=28A271891
- Non-repdigit numbers k that divide A045876(k).at n=9A276413
- a(n) = -1 + 5*n/6 + n^3/6.at n=46A283551
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 297", based on the 5-celled von Neumann neighborhood.at n=13A287509