12944
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 25110
- Proper Divisor Sum (Aliquot Sum)
- 12166
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6464
- Möbius Function
- 0
- Radical
- 1618
- Omega Function (Ω)
- 5
- 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
- 50
- 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
- Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.at n=18A117345
- Expansion of g.f.: -1/(-1 + x + x^4 - x^10 + x^13 + x^14).at n=32A174578
- Number of permutations of 0..(n-1) representable as 1,4,6,4,1-weighted consecutive sums of 5 adjacent elements of a sequence of n+4 nonnegative integers.at n=23A180215
- Number of strings of numbers x(i=1..6) in 0..n with sum i*x(i)^3 equal to 6*n^3.at n=44A184723
- Number of ways to place 8 nonattacking bishops on an n X n board.at n=5A187240
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3>=x^3+y^3.at n=30A211804
- a(n) = 7*n^2 + 1.at n=43A247541
- Nonsquares in A277699 listed in the order of their appearance.at n=53A277805
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 30", based on the 5-celled von Neumann neighborhood.at n=26A285538
- Numbers k such that 331*2^k+1 is prime.at n=14A322958
- Number of integer partitions of n with the same alternating product as alternating sum.at n=52A348552
- Total number of ways to place k nonattacking bishops on an n X n chess board. Triangle T(n,k) read by rows (0 <= k <= 2*n-[n>0]-[n>1]).at n=35A378590