Tuesday, August 15, 2017

Number of the day: 719628

Happy Pythagorean Theorem Day!

Properties of the number 719628:

719628 = 22 × 3 × 7 × 13 × 659 is the 661629th composite number and is not squarefree.
719628 has 5 distinct prime factors, 48 divisors, 19 antidivisors and 189504 totatives.
719628 has a semiprime digit sum 33 in base 10.
719628 = 1799082 - 1799062 = 599722 - 599662 = 257082 - 256942 = 138522 - 138262 = 85882 - 85462 = 46522 - 45742 = 20682 - 18862 = 9322 - 3862 is the difference of 2 nonnegative squares in 8 ways.
719628 is the difference of 2 positive pentagonal numbers in 3 ways.
719628 = 1062 + 2142 + 8142 is the sum of 3 positive squares.
7196282 = 2767802 + 6642722 is the sum of 2 positive squares in 1 way.
7196282 is the sum of 3 positive squares.
719628 is a proper divisor of 131912 - 1.

The number 719628 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A241576: Third differences of A001521.
A244020: Number of new points at the n-th step of the following iteration, starting with four points in general position in the real projective plane: dualize the current pointset to a family of lines, take all intersections of those lines, repeat.

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