A376879 Numbers that are abundant (A005101) and have no Zumkeller divisors.

748, 7544, 10184, 56816, 61904, 62416, 66928, 69488, 73616, 102416, 195316, 292604, 297908, 342225, 394144, 517024, 543968, 566236, 569228, 575212, 578204, 588676, 596156, 605132, 606628, 614108, 615604, 618596, 620092, 627572, 638044, 640096, 641036, 642532

Offset: 1

Author

Peter Luschny, Oct 20 2024

Keywords

• nonn

Comments

d is a Zumkeller divisor of n if and only if d is a divisor of n and is Zumkeller (A083207).

Crossrefs

Cf. A005101, A376880, A083207.

Programs

Maple

# The function 'isZumkeller' is defined in A376880.
select(n -> SumOfDivisors(n) > 2*n and not ormap(isZumkeller, Divisors(n)), [seq(1..11000)]);