Consider, for example, the integer 41 in base 10. It can be expressed as 34 + 3 + 4. For 42, however, there is no such digitaddition, hence it is a self number.
If , all odd will be self numbers.
Though self numbers form a small proportion of most ranges of consecutive integers, there are infinitely many of them: The recurrence relation (with if and otherwise) will give an incomplete though infinite list of self numbers.
Kaprekar, D. R. The Mathematics of New Self-Numbers. Devaiali, 1963: 19 - 20
|Date of creation||2013-03-22 15:56:15|
|Last modified on||2013-03-22 15:56:15|
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