8510
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16416
- Proper Divisor Sum (Aliquot Sum)
- 7906
- 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
- 3168
- Möbius Function
- 1
- Radical
- 8510
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 202
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of symmetric irreducible diagrams with 2n nodes.at n=8A004300
- Numbers k such that 157*2^k+1 is prime.at n=11A032455
- Multiplicity of highest weight (or singular) vectors associated with character chi_96 of Monster module.at n=43A034484
- Numbers k such that sum of the first k primes is a palindrome.at n=4A038582
- Smallest value of x such that M(x) = n, where M() is Mertens's function A002321.at n=33A051400
- Inverse Mertens function: smallest k such that |M(k)| = n, where M(x) is Mertens's function A002321.at n=33A051402
- An inverse to Mertens's function: smallest k >= 2 such that Mertens's function |M(k)| (see A002321) is equal to n.at n=34A060434
- Historical progression of years from the song "In The Year 2525" by Denny Zager and Rick Evans.at n=6A111729
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k UHD's, where U=(1,1),H=(1,0),D=(1,-1) (0<=k<=floor(n/3)).at n=30A114583
- Number of Motzkin paths of length n having no UHD's (U=(1,1), H=(1,0), D=(1,-1)).at n=12A114584
- Numbers k such that both k and the k-th prime have nonincreasing digits.at n=51A116067
- 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, 0, 1), (0, 1, 0), (1, -1, -1), (1, 0, 0)}.at n=8A149928
- a(n) = 250*n + 10.at n=33A154379
- a(n) = 4*n^2 + 73*n + 333.at n=36A157431
- a(n) = 16*n^2 + 2*n.at n=22A158056
- Euler transform of Fibonacci numbers.at n=15A166861
- Number of paths from (0,0) to (n+2,n) using only up and right steps and avoiding two or more consecutive moves up or three or more consecutive moves right.at n=36A177787
- Number of partitions n such that the multiplicity of the number of even parts is a part.at n=38A240540
- Number of tilings of a 4 X n rectangle using tetrominoes of shapes L, Z, O.at n=9A242636
- Number of length n+4 0..5 arrays with every five consecutive terms having four times some element equal to the sum of the remaining four.at n=12A249653