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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    The original number is divisible by 7 if and only if the number obtained using this procedure is divisible by 7. For example, the number 371: 37 − (2×1) = 37 − 2 = 35; 3 − (2 × 5) = 3 − 10 = −7; thus, since −7 is divisible by 7, 371 is divisible by 7. Similarly a number of the form 10x + y is divisible by 7 if and only if x + 5y ...

  3. 206 (number) - Wikipedia

    en.wikipedia.org/wiki/206_(number)

    206 is both a nontotient and a noncototient. [1] 206 is an untouchable number. [2] It is the lowest positive integer (when written in English as "two hundred and six") to employ all of the vowels once only, not including Y. The other numbers sharing this property are 230, 250, 260, 602, 640, 5000, 8000, 9000, 26,000, 80,000 and 90,000.

  4. Table of divisors - Wikipedia

    en.wikipedia.org/wiki/Table_of_divisors

    For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21). If m is a divisor of n , then so is − m . The tables below only list positive divisors.

  5. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    Prime numbers have exactly 2 divisors, and highly composite numbers are in bold. 7 is a divisor of 42 because =, so we can say It can also be said that 42 is divisible by 7, 42 is a multiple of 7, 7 divides 42, or 7 is a factor of 42. The non-trivial divisors of 6 are 2, −2, 3, −3.

  6. Senary - Wikipedia

    en.wikipedia.org/wiki/Senary

    If a number is divisible by 6, then the final digit of that number is 0. To determine whether a number is divisible by 7, one can sum its alternate digits and subtract those sums; if the result is divisible by 7, the number is divisible by 7, similar to the "11" divisibility test in decimal.

  7. 1001 (number) - Wikipedia

    en.wikipedia.org/wiki/1001_(number)

    The method is along the same lines as the divisibility rule for 11 using the property 10 ≡ -1 (mod 11). The two properties of 1001 are 1001 = 7 × 11 × 13 in prime factors 10 3 ≡ -1 (mod 1001) The method simultaneously tests for divisibility by any of the factors of 1001. First, the digits of the number being tested are grouped in blocks ...

  8. 360 (number) - Wikipedia

    en.wikipedia.org/wiki/360_(number)

    360 is divisible by the number of its divisors , and it is the smallest number divisible by every natural number from 1 to 10, except 7. Furthermore, one of the divisors of 360 is 72, which is the number of primes below it. 360 is the sum of twin primes (179 + 181) and the sum of four consecutive powers of three (9 + 27 + 81 + 243).

  9. Belphegor's prime - Wikipedia

    en.wikipedia.org/wiki/Belphegor's_prime

    Symbol of Belphegor's prime, represented by the Greek letter π upside down. Belphegor's prime is the palindromic prime number 1 000 000 000 000 066 600 000 000 000 001 (10 30 + 666 × 10 14 + 1), a number which reads the same both backwards and forwards and is only divisible by itself and one.