8558
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14040
- Proper Divisor Sum (Aliquot Sum)
- 5482
- 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
- 3880
- Möbius Function
- -1
- Radical
- 8558
- 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
- 78
- 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
- Large Schröder numbers (or large Schroeder numbers, or big Schroeder numbers).at n=7A006318
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-2)*a(2) for n >= 3.at n=7A025240
- Palindromes of form k^2 + k + 2.at n=9A027713
- Triangular array read by rows associated with Schroeder numbers: T(1,k) = 1; T(n,k) = 0 if k < n; T(n,k) = T(n,k-1) + T(n-1,k-1) + T(n-1,k).at n=35A033877
- Triangular array associated with Schroeder numbers.at n=44A033878
- Trajectory of 3 under map n->15n+1 if n odd, n->n/2 if n even.at n=18A037105
- Base 10 palindromes that start with 8.at n=17A043043
- Largest palindromic substring in 2^n.at n=57A046260
- Largest palindromic substring in 8^n.at n=19A046266
- Palindromes with exactly 3 distinct prime factors.at n=36A046393
- Palindromes expressible as sum of 2 consecutive palindromes.at n=55A046497
- Palindromic untouchable numbers.at n=18A048187
- Number of ways to write the n-th prime as a sum of distinct primes.at n=47A070215
- Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(1,0)=2, a(n,0)=A006318(n), a(n,n)=A006319(n), a(n+1,0)=a(n,0)+a(n,n), a(n,m+1)= Sum A006318(k)*a(n-k,0), k=0..m.at n=28A073150
- Palindromic even numbers with an odd number of distinct prime factors.at n=18A075809
- Palindromic even numbers with exactly 3 prime factors (counted with multiplicity).at n=22A075816
- Palindromic even numbers with an odd number of prime factors (counted with multiplicity).at n=43A075817
- Formal inverse of triangle A080246. Unsigned version of A080245.at n=28A080247
- Palindromes neither divisible by any of their digits nor by the sum of their digits.at n=46A082948
- a(n) = integer nearest Pi*a(n-1), where a(0) = 1.at n=8A095716