Definition:Ore Number/Sequence

Sequence of Ore Numbers

The sequence of Ore numbers begins:

$1, 6, 28, 140, 270, 496, 672, 1638, 2970, 6200, 8128, 8190, 18600, 18620, \ldots$

This sequence is A001599 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Sources

• 1948: Øystein Ore: On the averages of the divisors of a number (Amer. Math. Monthly Vol. 55, no. 10: pp. 615 – 619)  www.jstor.org/stable/2305616

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $140$

• Weisstein, Eric W. "Harmonic Divisor Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HarmonicDivisorNumber.html