10864
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 24304
- Proper Divisor Sum (Aliquot Sum)
- 13440
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 1358
- 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
- 68
- 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
- a(n) = 4*a(n-1) - a(n-2) with a(0) = 0, a(1) = 1.at n=8A001353
- a(n) = 4*a(n-2) - a(n-4) for n > 1, a(n) = n for n = 0, 1.at n=16A002530
- Pisot sequence E(4,15): a(n) = floor(a(n-1)^2/a(n-2)+1/2) for n>1, a(0)=4, a(1)=15.at n=6A010905
- Expansion of 1/((1-5x)(1-6x)(1-10x)(1-11x)).at n=3A028177
- Numbers whose set of base-15 digits is {3,4}.at n=17A032839
- Numerators of continued fraction convergents to sqrt(474).at n=9A041904
- a(n) = 2*a(n-1)*A002812(n-1), starting a(0)=1.at n=3A071579
- Table by antidiagonals of T(n,k)=n*T(n,k-1)-T(n,k-2) starting with T(n,1)=1.at n=58A073134
- Floor[ concatenation of n+4, n+3, n+2, n+1 and n divided by 5].at n=1A075006
- a(n) = floor(concatenation of n down to 1 divided by n).at n=4A078192
- T(n,k) = Points in n-dimensional lattice of side length k with at least one coordinate = k and GCD of all coordinates = 1.at n=61A090225
- Expansion of (1 + x + x^2)/(1 - 4x^2 + x^4).at n=15A108412
- Square array read by antidiagonals: T(m,n) = number of spanning trees in an m X n grid.at n=43A116469
- Square array read by antidiagonals: T(m,n) = number of spanning trees in an m X n grid.at n=37A116469
- Site series for second parallel moment of 4.8 (bathroom tile) lattice.at n=17A120559
- Triangle A124029 with the (0,0) entry replaced by 4.at n=28A123966
- Triangle T(n,k) with the coefficient [x^k] of the characteristic polynomial of the following n X n triangular matrix: 4 on the main diagonal, -1 of the two adjacent subdiagonals, 0 otherwise.at n=28A124029
- #4 in an infinite set of generalized Pascal's triangles with trigonometric properties.at n=42A125077
- Interleave denominators and numerators of convergents to sqrt(3).at n=22A140827
- Triangle read by rows, antidiagonals of an array (r,k), r=(0,1,2,...), generated from 2 X 2 matrices of the form [1,r; 1,(r+1)].at n=52A179943