Sunday, September 23, 2018

Number of the day: 7464

Properties of the number 7464:

7464 = 23 × 3 × 311 is the 6518th composite number and is not squarefree.
7464 has 3 distinct prime factors, 16 divisors, 9 antidivisors and 2480 totatives.
7464 has a semiprime digit sum 21 in base 10.
7464 has a Fibonacci digit sum 21 in base 10.
7464 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 7464 results in a semiprime.
7464 = 18672 - 18652 = 9352 - 9312 = 6252 - 6192 = 3172 - 3052 is the difference of 2 nonnegative squares in 4 ways.
7464 is the sum of 2 positive triangular numbers.
7464 is the difference of 2 positive pentagonal numbers in 2 ways.
7464 = 22 + 82 + 862 is the sum of 3 positive squares.
74642 is the sum of 3 positive squares.
7464 is a proper divisor of 18672 - 1.
7464 = '746' + '4' is the concatenation of 2 semiprime numbers.
7464 is palindromic in (at least) the following bases: 33, -32, and -82.
7464 in base 30 = 88o and consists of only the digits '8' and 'o'.
7464 in base 33 = 6s6 and consists of only the digits '6' and 's'.

The number 7464 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000047: Number of integers <= 2^n of form x^2 - 2y^2.
A022115: Fibonacci sequence beginning 2, 11.
A100178: Structured hexagonal diamond numbers (vertex structure 5).
A131941: Partial sums of ceiling(n^2/2) (A000982).
A140113: a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n^2 if n is even.
A208930: Triangle of coefficients of polynomials v(n,x) jointly generated with A208930; see the Formula section.
A237045: Number of overcompositions of n minus the number of overpartitions of n.
A248553: Numbers n such that the smallest prime divisor of n^2+1 is 101.
A265057: Coordination sequence for (2,3,7) tiling of hyperbolic plane.
A272539: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 491", based on the 5-celled von Neumann neighborhood.

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