8983
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
- 4
- Divisor Sum
- 9688
- Proper Divisor Sum (Aliquot Sum)
- 705
- 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
- 8280
- Möbius Function
- 1
- Radical
- 8983
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 184
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- List of pairs of primes in reverse order.at n=11A007797
- a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3.at n=29A022870
- a(n) = least number not of form [ (a^2/n) ] + [ (b^2)/n ].at n=26A036575
- Number of ways of placing 2n points on n X n grid so no 3 are in a line (solutions with 180 deg rotational symmetry).at n=24A037187
- Digitally balanced numbers in both bases 2 and 3.at n=28A049361
- a(1)=1 then a(n)= (1/2) *(5*a(n-1)+1) if a(n-1) is odd, a(n)=3/2*a(n-1) otherwise.at n=13A086813
- Number of 2-sided strip polyrhombs with n cells.at n=12A151524
- Numerators in Taylor series expansion of Product_{n >= 1} (1+x^n/n!).at n=10A170908
- Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock.at n=3A186559
- Number of (n+2) X 6 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=3A186563
- T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock.at n=24A186568
- Number of n X 4 arrays with rows being permutations of 0..3 and no column j greater than column j-1 in all rows.at n=2A212851
- T(n,k) = number of n X k arrays with rows being permutations of 0..k-1 and no column j greater than column j-1 in all rows (n, k >= 1).at n=17A212855
- Number of 3 X n arrays with rows being permutations of 0..n-1 and no column j greater than column j-1 in all rows.at n=4A212856
- a(n) is the smallest number that is the sum of both 2n-1 and 2n+1 consecutive primes.at n=11A213174
- Matrix inverse of A181543 (cubes of entries of Pascal's triangle).at n=10A216207
- a(n) = floor(sqrt(2*7^n)).at n=9A221946
- Volume of torus (rounded down) with major radius = n and minor radius = n/3.at n=15A228641
- Semiprimes that are the concatenation of a prime and the previous prime.at n=6A242102
- Number of (n+2)X(3+2) 0..2 arrays with each row and column divisible by 13, read as a base-3 number with top and left being the most significant digits.at n=3A263336