8684
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
- 12
- Divisor Sum
- 16464
- Proper Divisor Sum (Aliquot Sum)
- 7780
- 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
- 3984
- Möbius Function
- 0
- Radical
- 4342
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Fibonacci sequence beginning 2, 13.at n=15A022116
- a(n) = A027052(n, 2n-3).at n=9A027059
- Greatest number in row n of array T given by A027052.at n=11A027071
- G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 3 generated by (1,2,3)(4,5,6).at n=7A036726
- Number of different compact source directed animals with 1 point on the bottom line.at n=9A036908
- Sum of first n primes of form 4k-1.at n=43A038347
- Number of 3-rowed binary matrices with n ones and no zero columns, up to row and column permutation.at n=25A058053
- Harmonic mean of digits is 6.at n=17A062184
- Number of inequivalent (ordered) solutions to n^2 = sum of 8 squares of integers >= 0.at n=34A065462
- a(n) = Sum_{k=1..n} antisigma(k), where antisigma(i) = sum of the nondivisors of i that are between 1 and i.at n=37A076664
- A004001[n + 1]*Fibonacci[n + 1] - 2*A004001[n]*Fibonacci[n] + A004001[n - 1]*Fibonacci[n - 1].at n=17A120472
- Number of strict quasi-parity perfect graphs on n nodes.at n=7A123460
- First differences of A160379.at n=17A163989
- Number of binary strings of length n with no substrings equal to 0000 or 0101.at n=15A164389
- Numbers n such that n!8-1 is prime.at n=51A204662
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4.at n=22A209988
- Antidiagonal sums of the convolution array A213576.at n=11A213578
- Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7.at n=5A252133
- Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7.at n=1A252137
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7.at n=22A252139