Back Alte abunda nombro Esperanto Número altamente abundante Spanish Nombre hautement abondant French Erősen bővelkedő számok Hungarian 高度過剰数 Japanese Весьма избыточное число Russian Highly abundant number SIMPLE Mycket ymnigt tal Swedish 高過剩數 Chinese 高過剩數 ZH-YUE
In number theory, a highly abundant number is a natural number with the property that the sum of its divisors (including itself) is greater than the sum of the divisors of any smaller natural number.
Highly abundant numbers and several similar classes of numbers were first introduced by Pillai (1943), and early work on the subject was done by Alaoglu and Erdős (1944). Alaoglu and Erdős tabulated all highly abundant numbers up to 104, and showed that the number of highly abundant numbers less than any N is at least proportional to log2 N.