| 关于某些真因子和大于或等于自身k倍的数 |
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| 引用本文： | 徐云.关于某些真因子和大于或等于自身k倍的数[J].梧州学院学报,2007,17(6):7-9. |
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| 作者姓名： | 徐云 |
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| 作者单位： | 广西师范学院,数学与计算机科学系,广西,南宁,530001 |
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| 基金项目： | 国家自然科学基金
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广西自然科学基金 |
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| 摘 要： | 该文从完全数的定义出发,定义了k-约完全数,即一个等于它的能被正整数k整除的所有真因子之和的数,并得出了相关的公式、性质、定理,提出了所有的是k的倍数的真因子和及奇的真因子和大于或等于自身q倍的数,并给出了几个结论.
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| 关 键 词： | 完全数 k-约完全数 真因子和 |
| 文章编号： | 1673-8535（2007）06-0007-03 |
| 收稿时间： | 2007-09-28 |
| 修稿时间： | 2007年9月28日 |
On the Numbers, k Multiples of which Equals or Exceeds the Sum and Its Proper Divisors |
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| Xu Yun.On the Numbers, k Multiples of which Equals or Exceeds the Sum and Its Proper Divisors[J].Journal of Guangxi University Wuzhou Branch,2007,17(6):7-9. |
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| Authors: | Xu Yun |
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| Institution: | Department of Mathematics and Computer Science, Guangxi Teachers Education University, Nanning 530001, China |
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| Abstract: | In this paper we define k- divisor perfect number due to the notion of perfect number, namely a number that equals the sum of all its proper divisors which can be divided by k. and obtained relevant formulas, theorems and properties .In addition, we also refered to the number, q multiples of which not exceeding the sum of its proper divisors which can be divided by k or its odd proper divisors giving several results. |
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| Keywords: | perfect number k-divisor perfect number sum of proper divisors |
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