8758
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 4922
- 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
- 4200
- Möbius Function
- -1
- Radical
- 8758
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 215
- 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 partitions in parts not of the form 7k, 7k+2 or 7k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 2 are greater than 1.at n=51A035938
- Number of partitions of n which represent losing Chomp positions.at n=54A112470
- Number of monocyclic skeletons with n carbon atoms and a ring size of 9.at n=8A121156
- Vinogradov's constants arising in enumeration of solutions to Waring's problem in the evil numbers (A001969).at n=20A206375
- Number of binary arrays of length n+7 with fewer than 4 ones in any length 8 subsequence (=less than 50% duty cycle).at n=9A213114
- Numbers m such that 11*m^2 + 5 is a square.at n=6A221762
- Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions.at n=31A230856
- E.g.f. satisfies: A(x,q) = exp( Integral A(x,q)*A(q*x,q) dx ).at n=49A232433
- Bernoulli number B_{n} has denominator 354.at n=21A255684
- Partial sums of A255743.at n=21A255764
- Number of (n+2) X (4+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.at n=38A255797
- Indices of the start of 9 successive distinct digits in the decimal expansion of e (2.718281828...).at n=31A258167
- a(1)=1, a(n)=a(n-1) plus the second prime greater than a(n-1).at n=11A289217
- a(n) is the smallest number whose Collatz ('3x+1') trajectory crosses its initial value exactly n times.at n=48A301937
- Numbers k such that the largest prime divisor of k^4+1 is less than k.at n=4A309562
- Expansion of g.f. (1 + x) * (1 + x^2) * Product_{k>=1} (1 + x^k).at n=47A329289
- Numbers that are the sum of five third powers in nine or more ways.at n=36A345185
- Numbers that are the sum of five third powers in ten or more ways.at n=10A345187
- Numbers that are the sum of five third powers in exactly ten ways.at n=8A345188
- Least area (doubled) of a triangle enclosing a circle of radius n such that the center of the circle and the vertices of the triangle all have integer coordinates.at n=28A358465