6884
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12054
- Proper Divisor Sum (Aliquot Sum)
- 5170
- 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
- 3440
- Möbius Function
- 0
- Radical
- 3442
- Omega Function (Ω)
- 3
- 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
- 57
- 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 period 66.at n=30A020405
- Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5).at n=33A039870
- a(n) = n*(94 + 5*n + 25*n^2 - 5*n^3 + n^4)/120.at n=16A057703
- Harmonic mean of digits is 6.at n=13A062184
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=36A063354
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=21A063362
- Numbers n such that n-th prime - phi(n) - d(n) = (n+1)-th prime - phi(n+1) - d(n+1), where d(n) = number of divisors of n.at n=9A063690
- Number of 4 X n binary matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1) and (11;0).at n=5A099945
- Large-number statistic from the enumeration of domino tilings of a 9-pillow of order n.at n=16A112843
- Number of valley-avoiding compositions with positive parts.at n=15A128805
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k UU's starting at level 0 (i.e., doublerises at level 1; n >= 0, 0 <= k <= floor(n/2)).at n=21A129168
- Number of n X n symmetric binary matrices containing no more than one 1 in any 2 X 2 sub-block.at n=7A139006
- Number of n X n binary matrices, symmetric about the diagonal and under 90-degree rotation, with no more than 1 one in any 2 X 2 subblock.at n=13A141486
- Number of n X n binary matrices, symmetric about the diagonal and under 90-degree rotation, with no more than 1 one in any 2 X 2 subblock.at n=16A141486
- Even composites in A145832.at n=40A145915
- Number of lines through at least 2 points of a 7 X n grid of points.at n=25A160847
- a(n) = n^3/6 + 3*n^2/4 + 7*n/3 + 7/8 + (-1)^n/8.at n=33A173154
- Number of lower triangles of a 3 X 3 0..n array with no element differing from any of its horizontal or vertical neighbors by more than one.at n=40A194932
- Number of 2n-bead necklaces labeled with numbers 1..n allowing reversal, with neighbors differing by exactly 1.at n=8A208666
- prime(n^2) - prime(n).at n=29A213926