9776
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 20832
- Proper Divisor Sum (Aliquot Sum)
- 11056
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4416
- Möbius Function
- 0
- Radical
- 1222
- Omega Function (Ω)
- 6
- 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
- 42
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 "cubic partitions" of n: expansion of Product_{k>0} 1/((1-x^(2k))^2*(1-x^(2k-1))) in powers of x.at n=24A002513
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=46A003451
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BIK = Bikitaite Li2[Al2Si4O12].2H2O starting from a T1 atom.at n=12A019076
- a(n) = (2*n+1)*(9*n+1).at n=23A033573
- Number of non-unimodal compositions of n into distinct terms.at n=26A072707
- a(n) = n*(n+2)*(2*n-1)/3. Also, row sums of triangle A131422.at n=23A131423
- Duplicate of A131423.at n=23A143371
- a(n) = floor((n+1)*(n-3)*(n-4)/12).at n=51A212772
- 6^n mod 10000.at n=29A216128
- Number of partitions of n such that the number of parts having multiplicity 1 is a part and the number of distinct parts is not a part.at n=38A241444
- Number of n X 3 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value increasing by 0 or 1 with every step right, diagonally se or down.at n=10A252978
- a(n) = n*(n^2 + 3*n - 2)/2.at n=26A256857
- Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111.at n=8A260363
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111.at n=36A260370
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111.at n=44A260370
- Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.at n=34A262508
- Consider a number x = concat(a,b). Sequence lists numbers x such that digits of b^a end in x.at n=18A266818
- a(n) = 4*(n + 1)*(n + 2)*(4*n + 3)/3.at n=11A267522
- Numbers which are representable as a sum of thirteen but no fewer consecutive nonnegative integers.at n=39A270300
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 358", based on the 5-celled von Neumann neighborhood.at n=33A271412