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117 | A Wisdom Archive on 117 |  | 117 A selection of articles related to 117 |  |
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117, 117, 117 - Births, 117 - Deaths, 117 - Events
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 |  |  | 117: Encyclopedia II - Hadrian - Hadrian's travelsMuch of Hadrian's reign was spent traveling. Even prior to becoming Emperor, he had travelled abroad with the Roman military, giving him much experience in the matter. More than half his reign was spent outside of Italy. Other emperors often left Rome to simply go to war, returning soon after conflicts concluded. A previous Emperor, Nero, once traveled through Greece and was condemned for his self indulgence. Hadrian, by contrast, traveled as a fundamental part of his governing, and made this clear to the Roman senate and the people. He was ...
See also:Hadrian, Hadrian - Early life, Hadrian - Securing power, Hadrian - Hadrian and the military, Hadrian - Cultural pursuits and patronage, Hadrian - Hadrian's travels, Hadrian - Britannia, Hadrian - Parthia and Asia Minor, Hadrian - Greece, Hadrian - Return to Italy, Hadrian - Greece and Asia, Hadrian - Notes Read more here: » Hadrian: Encyclopedia II - Hadrian - Hadrian's travels |
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 |  |  | 117: Encyclopedia II - Harshad number - What numbers can be Harshad numbers?Given the divisibility test for 9, one might be tempted to generalize that all numbers divisible by 9 are also Harshad numbers. But for the purpose of determining the Harshadness of n, the digits of n can only be added up once and n must be divisible by that sum; otherwise, it is not a Harshad number. For example, 99, although divisible by 9 as shown by 9 + 9 = 18 and 1 + 8 = 9, is not a Harshad number, since 9 + 9 = 18 = 2 × 32, and 99 is not divisible by 2.
The base number will always be a Harshad numb ...
See also:Harshad number, Harshad number - What numbers can be Harshad numbers?, Harshad number - Consecutive Harshad numbers, Harshad number - Estimating the density of Harshad numbers Read more here: » Harshad number: Encyclopedia II - Harshad number - What numbers can be Harshad numbers? |
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