|
| |
|
|
A181309
|
|
Highly composite numbers that are not highly abundant numbers.
|
|
2
|
| |
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Numbers in A002182 but not in A002093. These terms are A002182(n) for n=255, 278, 301, 312, 362.
From Matthew Vandermast: Alaoglu and Erdos state on page 463 (just before Theorem 18) that "only a finite number of highly abundant numbers can be highly composite." What is the largest number in the intersection of the two sequences?
|
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..10
L. Alaoglu and P. Erdos, On highly composite and similar numbers, Trans. Amer. Math. Soc., 56 (1944), 448-469.
|
|
|
EXAMPLE
|
n1 = 1084045767585249647898720000 is not highly abundant because the smaller number
n0 = 1082074775280549193993449600 has a larger sum of divisors:
sigma(n1) = 7737797730196290039762124800
sigma(n0) = 7744678597340808238596096000
|
|
|
CROSSREFS
|
Sequence in context: A217413 A217428 A146561 * A095448 A105298 A003853
Adjacent sequences: A181306 A181307 A181308 * A181310 A181311 A181312
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
T. D. Noe, Oct 13 2010
|
|
|
STATUS
|
approved
|
| |
|
|
