Sunday, May 7, 2017

Number of the day: 4606

Properties of the number 4606:

4606 = 2 × 72 × 47 is the 3982th composite number and is not squarefree.
4606 has 3 distinct prime factors, 12 divisors, 13 antidivisors and 1932 totatives.
4606 is the difference of 2 positive pentagonal numbers in 5 ways.
4606 = 62 + 332 + 592 is the sum of 3 positive squares.
46062 is the sum of 3 positive squares.
4606 is a divisor of 6597 - 1.
4606 is palindromic in (at least) the following bases: 93, 97, -17, and -39.
4606 in base 17 = ffg and consists of only the digits 'f' and 'g'.

The number 4606 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A054098: Triangular array generated by its row sums: T(n,0)=1 for n >= 0, T(1,1)=2, T(n,k)=T(n,k-1)+d*r(n-k) for k=2,3,...,n, d=(-1)^(k+1), n >= 2, r(h)=sum of the numbers in row h of T.
A061147: Product of all distinct numbers formed by permuting digits of n.
A061205: a(n) = n times R(n) where R(n) (A004086) is the digit reversal of n.
A068634: a(n) = LCM (n, R(n)), where R(n) (A004086) = digit reversal of n.
A083074: n^3 - n^2 - n - 1.
A127596: Numbers n such that 1 + Sum{k=1..n-1} A001223(k)*(-1)^k = 0.
A169678: The second of a pair of sequences A and B with property that all the differences |a_i - b_j| are distinct - for precise definition see Comments lines in A169677.
A185875: Third accumulation array of A051340, by antidiagonals.
A245577: Numbers n such that n^4 is a sum of 4 consecutive primes.
A283357: Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 621", based on the 5-celled von Neumann neighborhood.

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