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Instead of representing an integer by its digits, it may be represented by its remainders xi modulo a set of N coprime numbers mi: : \begin{align} x_1 & \equiv x \bmod m_1 \\ x_2 & \equiv x \bmod m_2 \\ & \vdots \\ x_N & \equiv x \bmod m_N\,.
(The largest known prime, which took several thousand computers nearly a month to find, has seventeen million digits, making it an astronomically larger number than pi but a dwarf to its digits).
has the property that its digits will always add up to a multiple of 9.
An irrational number can't be expressed as a fraction composed of whole numbers, and, furthermore, its digits go to infinity without repeating periodically.
For example, the number 4,968 is a multiple of 9 (552 9), and its digits add up to 27 (3 9).
A whole number, or integer, that is the sum of the nth powers of its digits (e.g., 153 = 13 + 53 + 33) is called a perfect digital invariant.
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That led Dr Forstmeier to ask whether the type of hormone receptor a bird has influences its digit ratio, its sexual behaviour or both.To find out, he looked for correlations between genes, ratios and behaviour in more than 1,100 zebra finches.
Instead of the Dubai area code, a mobile phone will have its own two-digit code preceding its seven digits.
B will be its second digit, C its third, and so on.
In medieval number theory, the number five is considered a "circular number", since it "reproduces itself in its last digit when raised to its powers".
"You're just necking with it," she warned me, as she checked the price tag and grimaced like a Kabuki actor at its four digits.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com