8745
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15552
- Proper Divisor Sum (Aliquot Sum)
- 6807
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4160
- Möbius Function
- 1
- Radical
- 8745
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- From George Gilbert's marks problem: jumping 6 marks at a time (initial positions).at n=22A019995
- [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 positive integers congruent to 1 mod 4}.at n=9A024386
- Denominator of |Bernoulli(2n+2)| - |Bernoulli(2n)|.at n=25A029765
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=13A031947
- a(n) = T(3,n), array T given by A048471.at n=7A036543
- Composite numbers with four prime factors (not necessarily distinct) whose concatenation yields a palindrome.at n=8A046453
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=13A049357
- Number of "polyares" of order n (turning over not allowed).at n=6A057725
- Take an n X n square grid of points in the plane; a(n) = number of ways to divide the points into two sets using a straight line.at n=12A114043
- a(n) = n*(8*n+1).at n=33A139275
- List of largest row numbers of Pascal-like triangles with index of asymmetry y = 1 and index of obliqueness z = 0 or z = 1.at n=15A141017
- List of different composite numbers in Pascal-like triangles with index of asymmetry y = 1 and index of obliqueness z = 0 or z = 1.at n=41A141065
- Row sums of triangle A144886 (S1hat(4)).at n=5A144887
- a(n) = A145812(2n-1).at n=43A145849
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 0), (1, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=7A149807
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (1, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=7A149808
- Monotonic ordering of set S generated by these rules: if x and y are in S then (x+1)(y+1) is in S, and 2 is in S.at n=32A192518
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n+2.at n=32A212252
- Expansion of (1+3*x+5*x^2-x^3)/((1-x^2)*(1-3*x^2)).at n=14A220944
- Number of conjugacy classes in Weyl group of type D_n.at n=17A234254