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Countdown start

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TEN.

Last seen on: LA Times Crossword, Mon, Mar 20, 2023

Random information on the term “TEN”:

10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, by far the most common system of denoting numbers in both spoken and written language. It is the first double-digit number. The reason for the choice of ten is assumed to be that humans have ten fingers (digits).

Ten is the fifth composite number. Ten is the smallest noncototient, a number that cannot be expressed as the difference between any integer and the total number of coprimes below it. It is the second discrete semiprime ( 2 × 5 {\displaystyle 2\times 5} ) and the second member of the ( 2 × q {\displaystyle 2\times q} ) discrete semiprime family. Ten has an aliquot sum σ(10) of 8 and is accordingly the first discrete semiprime to be in deficit, with all subsequent discrete semiprimes in deficit. Ten is the smallest number that can be written as the sum of two prime numbers in two different ways ( 3 + 7 = 5 + 5 = 10 {\displaystyle 3+7=5+5=10} ), and the only number whose sum and difference of its prime divisors yield prime numbers ( 2 + 5 = 7 {\displaystyle 2+5=7} and 5 − 2 = 3 {\displaystyle 5-2=3} ). It is also the smallest semiprime that is the sum of all the distinct prime numbers from its lower factor through its higher factor ( 10 = 2 + 3 + 5 = 2 × 5 {\displaystyle 10=2+3+5=2\times 5} ). In general, powers of 10 contain n 2 {\displaystyle n^{2}} divisors, where n {\displaystyle n} is the number of digits: 10 has 22 = 4 divisors, 100 has 32 = 9 divisors, 1,000 has 42 = 16 divisors, 10,000 has 52 = 25 divisors, and so forth. Ten is the eighth Perrin number, preceded in the sequence by (5, 5, 7).

TEN on Wikipedia

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