8797
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
- 9280
- Proper Divisor Sum (Aliquot Sum)
- 483
- 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
- 8316
- Möbius Function
- 1
- Radical
- 8797
- 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
- 34
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=22A020425
- a(n) = position of 3*n^3 in A003072.at n=29A024970
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026769.at n=6A027240
- Numbers k such that 157*2^k-1 is prime.at n=14A050830
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=42A064905
- Numerators of a(n+1) = Sum_{k=1..n} a'(n/k), a(1)=1, where a'(x)=a(x) if x integer and is linearly interpolated otherwise.at n=13A071795
- a(n+3) = floor( ( a(n) + 2*a(n+1) + 3*a(n+2) )/4 ), with a(0), a(1), a(2) equal to 0, 1, 2.at n=38A074732
- Number of partitions of n into parts congruent to {0, 1, 3, 5} mod 6.at n=49A096981
- Structured hexagonal diamond numbers (vertex structure 5).at n=18A100178
- Minimal set of composite-strings in base 12 in the sense of A071070.at n=45A110615
- Number of permutations of length n which avoid the patterns 1234, 4312.at n=8A116705
- Partial sums of ceiling(n^2/2) (A000982).at n=37A131941
- a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n^2 if n is even.at n=36A140113
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, -1), (1, -1, -1), (1, 1, 1)}.at n=8A149502
- Row sums of triangular table A138612.at n=14A166020
- Position of 3^n in A051037 (5-smooth numbers).at n=35A188426
- The number of parents of successive approximations used in a greedy approach to creating a Garden of Eden in Conway's Game of Life.at n=6A196447
- Number of (w,x,y,z) with all terms in {0,...,n}, w even, x even, and w+x=y+z.at n=36A212767
- Composite numbers and 1 which yield a prime whenever a 7 is inserted anywhere in them, including at the beginning or end.at n=32A216168
- Numbers k such that 25*k+36 is a square.at n=37A222964