Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Harshad numbers
|
| gptkbp:definedIn |
an integer divisible by the sum of its digits
|
| gptkbp:first_terms |
2
1 10 3 4 5 6 7 8 9 |
| https://www.w3.org/2000/01/rdf-schema#label |
Niven numbers
|
| gptkbp:namedAfter |
gptkb:D._R._Kaprekar
Ivan M. Niven |
| gptkbp:OEIS |
A005349
|
| gptkbp:property |
in base 10, 18 is a Niven number because 18/(1+8)=2
all single-digit numbers are Niven numbers infinitely many Niven numbers exist not all Niven numbers are divisible by 9 Niven numbers are closed under multiplication by powers of 10 |
| gptkbp:relatedTo |
gptkb:Harshad_number
gptkb:Smith_number Kaprekar number |
| gptkbp:sequence |
integer sequence
|
| gptkbp:studiedIn |
number theory
|
| gptkbp:bfsParent |
gptkb:Ivan_Niven
|
| gptkbp:bfsLayer |
8
|