8718
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17448
- Proper Divisor Sum (Aliquot Sum)
- 8730
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2904
- Möbius Function
- -1
- Radical
- 8718
- 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
- 171
- 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 2n-step polygons on honeycomb.at n=14A006774
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 62.at n=24A031560
- Coefficient of q^2 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,1).at n=15A074082
- a(n) = smallest m >= 2 such that Sum_{k=2..m} 1/(k*log(k)) >= n.at n=3A096580
- Numbers k such that k * (10^k - 1) + 1 is prime.at n=7A109137
- a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution cube of A010054, which has the g.f.: Sum_{k>=0} x^(k*(k+1)/2).at n=25A109414
- Rectangular array read by antidiagonals: a(n, d) is the smallest number that starts an arithmetic progression with common difference d of n numbers with the same number of divisors.at n=32A113465
- Least number k such that k, k+n, k+2*n and k+3*n have the same number of divisors.at n=4A113468
- Positive integers n such that S(n) divides n, where S(n) is the sum of the iterates of the Euler phi-function of n, that is, S(n) = phi(n)+phi(phi(n))+....+ 1.at n=40A113808
- Starting numbers for which the RATS sequence has eventual period 14.at n=18A114615
- Sum of first n isolated (or single) primes A007510.at n=38A153478
- (L)-sieve transform of A004767 = {3,7,11,15,...,4n-1,...}.at n=28A155167
- Number of strings of numbers x(i=1..4) in 0..n with sum i*x(i) equal to n*4.at n=33A184704
- Number of triple-rises in all length n left factors of Dyck paths (triple-rise = three consecutive (1,1)-steps).at n=14A191787
- Number of nondecreasing sequences of n 1..7 integers with every element dividing the sequence sum.at n=26A212535
- Triangle read by rows: numerators of coefficients of the Hirzebruch L-polynomials L_n expressing the signature of a 4n-dimensional manifold in terms of its Pontrjagin numbers (as in Hirzebruch Signature Theorem).at n=25A237111
- Non-palindromic composite numbers such that n' = [Rev(n)]', where n' is the arithmetic derivative of n.at n=7A259077
- Total size of all principal order ideals in the poset of integer partitions of n with the refinement order.at n=15A265947
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 30", based on the 5-celled von Neumann neighborhood.at n=29A269755
- Numbers k such that (14*10^k + 73)/3 is prime.at n=29A271340