8855
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 4969
- 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
- 5280
- Möbius Function
- 1
- Radical
- 8855
- 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
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=23A000332
- Degrees of irreducible representations of Conway group Co1.at n=4A003903
- Degrees of irreducible representations of Conway group Co3.at n=14A003910
- a(n) = floor(Fibonacci(n)/2).at n=22A004695
- a(n) = Sum_{k=0..floor(n/4)} binomial(n-2k,2k).at n=21A005252
- Related to n-th powers of polynomials: factors complementary to A005730.at n=23A005731
- Ruth-Aaron numbers (1): sum of prime divisors of n = sum of prime divisors of n+1.at n=17A006145
- Number of intersections of diagonals in the interior of a regular n-gon.at n=22A006561
- Lucas-Carmichael numbers: squarefree composite numbers k such that p | k => p+1 | k+1.at n=7A006972
- Binomial coefficient C(23,n).at n=4A010939
- Binomial coefficient C(23,n).at n=19A010939
- a(n) = binomial(n,19).at n=4A010972
- a(n) = floor(binomial(n,5)/6).at n=25A011843
- Odd pentagonal numbers.at n=38A014632
- Binomial coefficients: C(n,k), 4 <= k <= n-4, sorted, duplicates removed.at n=30A024756
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=27A026063
- LCM-convolution of squares A000290 with themselves.at n=12A033456
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=38A033570
- a(n) = (n-1)*(2*n-1)*(3*n-1).at n=12A033594
- Digitally balanced numbers in both bases 2 and 3.at n=22A049361