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  2. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    The number is taken to be 'odd' or 'even' according to whether its numerator is odd or even. Then the formula for the map is exactly the same as when the domain is the integers: an 'even' such rational is divided by 2; an 'odd' such rational is multiplied by 3 and then 1 is added.

  3. List of Mersenne primes and perfect numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_Mersenne_primes...

    Visualization of 6 as a perfect number Logarithmic graph of the number of digits of the largest known prime number by year, nearly all of which have been Mersenne primes. Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory.

  4. Palindromic prime - Wikipedia

    en.wikipedia.org/wiki/Palindromic_prime

    Ribenboim defines a triply palindromic prime as a prime p for which: p is a palindromic prime with q digits, where q is a palindromic prime with r digits, where r is also a palindromic prime. [5] For example, p = 10 11310 + 4661664 × 10 5652 + 1, which has q = 11311 digits, and 11311 has r = 5 digits. The first (base-10) triply palindromic ...

  5. List of prime numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_prime_numbers

    A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes.

  6. Half-precision floating-point format - Wikipedia

    en.wikipedia.org/wiki/Half-precision_floating...

    smallest positive subnormal number 0 00000 1111111111: 03ff: 2 −14 × (0 + ⁠ 1023 / 1024 ⁠) ≈ 0.000060975552: largest subnormal number 0 00001 0000000000: 0400: 2 −14 × (1 + ⁠ 0 / 1024 ⁠) ≈ 0.00006103515625: smallest positive normal number 0 01101 0101010101: 3555: 2 −2 × (1 + ⁠ 341 / 1024 ⁠) ≈ 0.33325195: nearest ...

  7. Abundant number - Wikipedia

    en.wikipedia.org/wiki/Abundant_number

    In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. The integer 12 is the first abundant number.

  8. Magic number (programming) - Wikipedia

    en.wikipedia.org/wiki/Magic_number_(programming)

    the use of 2 to check whether a number is even or odd, as in isEven = (x % 2 == 0), where % is the modulo operator the use of simple arithmetic constants, e.g., in expressions such as circumference = 2 * Math.PI * radius , [ 1 ] or for calculating the discriminant of a quadratic equation as d = b^2 − 4*a*c

  9. Kaprekar's routine - Wikipedia

    en.wikipedia.org/wiki/Kaprekar's_routine

    Furthermore, it is clear that even-digits with greater than or equal to 8, [10] and with 9 digits, [11] or odd-digits with greater than or equal to 15 digits [12] have multiple solutions. Although 11-digit and 13-digit numbers have only one solution, it forms a loop of five numbers and a loop of two numbers, respectively. [ 13 ]