8977
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9216
- Proper Divisor Sum (Aliquot Sum)
- 239
- 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
- 8740
- Möbius Function
- 1
- Radical
- 8977
- Omega Function (Ω)
- 2
- 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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/16).at n=21A011926
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=35A024826
- Expansion of 1/((1-2*x)*(1-5*x)*(1-10*x)*(1-12*x)).at n=3A026241
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=32A031814
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=26A031899
- Number of factorable subsets of a 1 X n uniform grid.at n=16A057765
- Centered 16-gonal numbers.at n=33A069129
- Centered 17-gonal numbers: (17*n^2 - 17*n + 2)/2.at n=32A069130
- Shallow diagonal of triangular spiral in A051682.at n=22A081275
- Third row of Pascal-(1,7,1) array A081582.at n=17A081593
- Product L(n)*L_4(n), where L(n) are Lucas numbers and L_4(n) are Lucas 4-step numbers.at n=8A106627
- Number of ordered rooted trees where each subtree from given node has the same number of nodes.at n=22A127525
- One-seventh of the difference of squares of legs of primitive Pythagorean triangles, neither of which is a multiple of 7.at n=34A127924
- Positions where A163890 obtains distinct new values.at n=20A163891
- Partial sums of A007694.at n=34A174030
- a(n) = 2*prime(n)^2 - 1.at n=18A179262
- Numbers that can be formed using its own digits in order and only addition and fourth power operators.at n=17A195672
- Number of n X 7 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.at n=2A207937
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.at n=38A207938
- Number of 3 X n 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.at n=6A207939