On near-perfect numbers
Min Tang; Xiaoyan Ma; Min Feng
Colloquium Mathematicae (2016)
- Volume: 144, Issue: 2, page 157-188
- ISSN: 0010-1354
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topMin Tang, Xiaoyan Ma, and Min Feng. "On near-perfect numbers." Colloquium Mathematicae 144.2 (2016): 157-188. <http://eudml.org/doc/286357>.
@article{MinTang2016,
abstract = {For a positive integer n, let σ(n) denote the sum of the positive divisors of n. We call n a near-perfect number if σ(n) = 2n + d where d is a proper divisor of n. We show that the only odd near-perfect number with four distinct prime divisors is 3⁴·7²·11²·19².},
author = {Min Tang, Xiaoyan Ma, Min Feng},
journal = {Colloquium Mathematicae},
keywords = {near-perfect number; redundant divisor; quasiperfect number},
language = {eng},
number = {2},
pages = {157-188},
title = {On near-perfect numbers},
url = {http://eudml.org/doc/286357},
volume = {144},
year = {2016},
}
TY - JOUR
AU - Min Tang
AU - Xiaoyan Ma
AU - Min Feng
TI - On near-perfect numbers
JO - Colloquium Mathematicae
PY - 2016
VL - 144
IS - 2
SP - 157
EP - 188
AB - For a positive integer n, let σ(n) denote the sum of the positive divisors of n. We call n a near-perfect number if σ(n) = 2n + d where d is a proper divisor of n. We show that the only odd near-perfect number with four distinct prime divisors is 3⁴·7²·11²·19².
LA - eng
KW - near-perfect number; redundant divisor; quasiperfect number
UR - http://eudml.org/doc/286357
ER -
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