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multiplicative digital root
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(Definition)
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Given an integer $m$ consisting of $k$ digits $d_1, \dots, d_k$ in base $b$ , let $$j = \prod_{i = 1}^{k} d_i,$$ then repeat this operation on the digits of $j$ until $j < b$ . This stores in $j$ the multiplicative digital root of $m$ . The number of iterations of the multiplication operation is called the multiplicative persistence of $m$ .
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"multiplicative digital root" is owned by CompositeFan. [ owner history (1) ]
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(view preamble | get metadata)
| Other names: |
repeated digit product, repeated digital product |
| Also defines: |
multiplicative persistence |
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Cross-references: multiplication, iterations, number, operation, base, digits, integer
There are 3 references to this entry.
This is version 1 of multiplicative digital root, born on 2006-06-15.
Object id is 8046, canonical name is MultiplicativeDigitalRoot.
Accessed 3378 times total.
Classification:
| AMS MSC: | 11A63 (Number theory :: Elementary number theory :: Radix representation; digital problems) |
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Pending Errata and Addenda
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