8854
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14040
- Proper Divisor Sum (Aliquot Sum)
- 5186
- 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
- 4176
- Möbius Function
- -1
- Radical
- 8854
- Omega Function (Ω)
- 3
- 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
- 96
- 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
- yes
- Odd
- no
Appears in sequences
- Number of Dyck paths of knight moves.at n=14A005220
- Number of paraffins.at n=26A006001
- Generalized Fibonacci numbers A_{n,4}.at n=33A006209
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between triples.at n=22A015635
- 5x - 1 sequence starting at 19 (a(n+1) = a(n)/2 if a(n) is even, or 5*a(n)-1 if a(n) is odd).at n=21A037238
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=21A045213
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= sqrt(n).at n=22A048093
- Number of invertible prime knots with n crossings.at n=13A052402
- Numbers k such that 30*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=19A055520
- a(n) = binomial(n+5,4) - 1.at n=18A063258
- a(n) = sum along n-th diagonal of A094102 (sloping downward to left).at n=35A094103
- Expansion of (-1+2x+2x^2)/((1+x+x^2)(1-x-x^2)).at n=21A100887
- Total number of parts in the tails below the Durfee squares of all partitions of n.at n=23A114089
- Number of different possible rows (or columns) in an n X n crossword puzzle.at n=19A130578
- Number of nX1 0..3 arrays with values 0..3 introduced in row major order, the number of instances of each value within one of each other, and every element equal to one or two horizontal or vertical neighbors.at n=20A199358
- Second 14-gonal numbers: n*(6*n+5).at n=38A211014
- Number of (w,x,y,z) with all terms in {1,...,n} and w^2<=x^2+y^2+z^2.at n=10A212093
- Number of nX3 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=2A224059
- T(n,k)=Number of nXk 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=12A224064
- Numbers k such that m^2 + k^2/m^2 is prime for every m|k.at n=43A236423