8398
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 6722
- 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
- 3456
- Möbius Function
- 1
- Radical
- 8398
- 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
- 65
- 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 dissections of an n-gon, rooted at an exterior edge, asymmetric with respect to that edge.at n=10A000150
- a(n) = n*(n+4)*(n+5)/6.at n=34A005586
- Super ballot numbers: 6(2n)!/(n!(n+2)!).at n=10A007054
- a(n) = C_n / 2 if n is even or ( C_n + C_((n-1)/2) ) / 2 if n is odd, where C = Catalan numbers (A000108).at n=9A007595
- a(n) = floor( binomial(n,8)/9).at n=19A011845
- Pseudoprimes to base 35.at n=25A020163
- a(n) is least k such that k and 7k are anagrams in base n (written in base 10).at n=10A023099
- Poincaré (or Molien) series for ring of Siegel modular forms of genus 3 (associated with full modular group Gamma_3).at n=44A027634
- a(n) = floor( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=19A028303
- a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=19A028304
- Triangle T(n,m) = Sum_{k=0..m} Catalan(n-k)*Catalan(k).at n=49A028364
- Concatenate rows of triangle in A028364 (removing duplicates).at n=41A028378
- Number of aperiodic necklaces of n beads of 2 colors, 11 of them black.at n=8A032169
- Number of necklaces with 9 black beads and n-9 white beads.at n=11A032194
- Number of necklaces with 11 black beads and n-11 white beads.at n=9A032196
- Schoenheim bound L_1(n,9,8).at n=10A036836
- Row sums up to the main diagonal of the "postage stamp" array (n,m >= 0) defined in A007059.at n=11A039671
- a(n) = ceiling(binomial(n,9)/n).at n=19A053733
- a(n) = ((2n+1) + (2n-1) - 1)!/((2n+1)!*(2n-1)!).at n=5A065097
- Fifth column of triangle A028364.at n=5A067296