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  2. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    In base 12, a square number can end only with square digits (like in base 12, a prime number can end only with prime digits or 1), that is, 0, 1, 4 or 9, as follows: if a number is divisible both by 2 and by 3 (that is, divisible by 6), its square ends in 0, and its preceding digit must be 0 or 3;

  3. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    Fourth power. In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. Some people refer to n4 as n “ tesseracted ”, “ hypercubed ...

  4. Magic square - Wikipedia

    en.wikipedia.org/wiki/Magic_square

    The third square is an order 5 normal magic square, which is a 90 degree clockwise rotated version of the square generated by De la Loubere method. On the right most side is a corresponding non-normal magic square with a = 4, c = 1, and d = 6 such that the new magic constant is M = 90.

  5. Polygonal number - Wikipedia

    en.wikipedia.org/wiki/Polygonal_number

    Some numbers, like 36, can be arranged both as a square and as a triangle (see square triangular number): By convention, 1 is the first polygonal number for any number of sides. The rule for enlarging the polygon to the next size is to extend two adjacent arms by one point and to then add the required extra sides between those points.

  6. Square-free integer - Wikipedia

    en.wikipedia.org/wiki/Square-free_integer

    In mathematics, a square-free integer (or squarefree integer) is an integer which is divisible by no square number other than 1. That is, its prime factorization has exactly one factor for each prime that appears in it. For example, 10 = 2 ⋅ 5 is square-free, but 18 = 2 ⋅ 3 ⋅ 3 is not, because 18 is divisible by 9 = 32.

  7. Portable Draughts Notation - Wikipedia

    en.wikipedia.org/wiki/Portable_Draughts_Notation

    the color for the Square numbers that follow B for Black, W, and the sequence is unimportant. K optional before square number, indicates the piece on that square is a king, otherwise it is a man. Square number indicates the square number occupied by a piece. The square number must be at least a "1". On an 8×8 board, it has a range from 1-32.

  8. Highly composite number - Wikipedia

    en.wikipedia.org/wiki/Highly_composite_number

    The sequence of highly composite numbers (sequence A002182 in the OEIS) is a subset of the sequence of smallest numbers k with exactly n divisors (sequence A005179 in the OEIS ). Highly composite numbers whose number of divisors is also a highly composite number are. 1, 2, 6, 12, 60, 360, 1260, 2520, 5040, 55440, 277200, 720720, 3603600 ...

  9. Triangular number - Wikipedia

    en.wikipedia.org/wiki/Triangular_number

    The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10, the digital root of a nonzero triangular number is always 1, 3, 6, or 9. Hence, every triangular number is either divisible by three or has a ...