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  2. Betrothed numbers - Wikipedia

    en.wikipedia.org/wiki/Betrothed_numbers

    Quasi-sociable numbers or reduced sociable numbers are numbers whose aliquot sums minus one form a cyclic sequence that begins and ends with the same number. They are generalizations of the concepts of betrothed numbers and quasiperfect numbers. The first quasi-sociable sequences, or quasi-sociable chains, were discovered by Mitchell Dickerman ...

  3. Sociable number - Wikipedia

    en.wikipedia.org/wiki/Sociable_number

    In a sociable sequence, each number is the sum of the proper divisors of the preceding number, i.e., the sum excludes the preceding number itself. For the sequence to be sociable, the sequence must be cyclic and return to its starting point. The period of the sequence, or order of the set of sociable numbers, is the number of numbers in this cycle.

  4. Amicable numbers - Wikipedia

    en.wikipedia.org/wiki/Amicable_numbers

    In mathematics, the amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of each is equal to the other number. That is, s ( a )= b and s ( b )= a , where s ( n )=σ( n )- n is equal to the sum of positive divisors of n except n itself (see also divisor function ).

  5. Mortgage points: What are they and how do they work? - AOL

    www.aol.com/finance/mortgage-points-192840885.html

    By buying two points for $6,400 upfront, the borrower’s interest rate shrank to 6.5 percent, lowering their monthly payment by $85, and saving them $30,709 in interest over the life of the loan.

  6. Benford's law - Wikipedia

    en.wikipedia.org/wiki/Benford's_law

    This is an accepted version of this page This is the latest accepted revision, reviewed on 17 January 2025. Observation that in many real-life datasets, the leading digit is likely to be small For the unrelated adage, see Benford's law of controversy. The distribution of first digits, according to Benford's law. Each bar represents a digit, and the height of the bar is the percentage of ...

  7. Talk:Betrothed numbers - Wikipedia

    en.wikipedia.org/wiki/Talk:Betrothed_numbers

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  8. Existential theory of the reals - Wikipedia

    en.wikipedia.org/wiki/Existential_theory_of_the...

    For instance, although the crossing number of a graph (the minimum number of crossings in a drawing with arbitrarily curved edges) may be determined in NP, it is complete for the existential theory of the reals to determine whether there exists a drawing achieving a given bound on the rectilinear crossing number (the minimum number of pairs of ...

  9. Perfect digit-to-digit invariant - Wikipedia

    en.wikipedia.org/wiki/Perfect_digit-to-digit...

    There are a finite number of natural numbers less than +, so the number is guaranteed to reach a periodic point or a fixed point less than +, making it a preperiodic point. This means also that there are a finite number of perfect digit-to-digit invariant and cycles for any given base b {\displaystyle b} .