9896
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18570
- Proper Divisor Sum (Aliquot Sum)
- 8674
- 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
- 4944
- Möbius Function
- 0
- Radical
- 2474
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 49.at n=28A031547
- Sum of squares of entries of Wilkinson's eigenvalue test matrix of order 2n+1.at n=24A059834
- Sum of digits = 8 times number of digits.at n=43A061425
- Numbers k such that 2^k mod phi(k) = 2^phi(k) mod k.at n=43A069050
- Number of partitions of n with designated summands.at n=22A077285
- Number of positions that are exactly n moves from the starting position in the Pyraminx puzzle.at n=5A079744
- Number of intersections between a sphere inscribed in a cube and the n X n X n cubes resulting from a cubic lattice subdivision of the enclosing cube.at n=44A085690
- First differences of A063843.at n=3A100788
- Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere.at n=25A180319
- Constant term in the reduction of the n-th Fibonacci polynomial by x^3->x^2+2x+1.at n=13A192772
- a(n) is the smallest number which is the sum of two positive n-gonal numbers in more than one way.at n=13A199809
- Number of 2 X 2 matrices having entries in {-n,...,0,..,n} and permanent=trace with no entry repeated.at n=36A279018
- Ways to tile a 5 X (2n+1) floor with tatami mats, including one monomer.at n=23A281791
- Numbers m such that the numbers of 1's in the binary expansion of m equals the negative sum of balanced ternary trits of m.at n=42A334765
- Row sums of the triangular array A357431.at n=33A357417