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14,179: the number of digits is odd (5) → 417 − 1 − 9 = 407: 0 − 4 − 7 = −11 = −1 × 11. 12: It is divisible by 3 and by 4. [6] 324: it is divisible by 3 and by 4. Subtract the last digit from twice the rest. The result must be divisible by 12. 324: 32 × 2 − 4 = 60 = 5 × 12. 13: Form the alternating sum of blocks of three from ...
This method works fine for the year 2000 (because it is a leap year), and will not become a problem until 2100, when older legacy programs will likely have long since been replaced. Other programs contained incorrect leap year logic, assuming for instance that no year divisible by 100 could be a leap year.
In the past 500 years, there was no leap day in 1700, 1800 and 1900, but 2000 had one. In the next 500 years, if the practice is followed, there will be no leap day in 2100, 2200, 2300 and 2500 ...
Every year that is exactly divisible by four is a leap year, except for years that are exactly divisible by 100, but these centurial years are leap years if they are exactly divisible by 400. For example, the years 1700, 1800, and 1900 are not leap years, but the year 2000 is. —
d() is the number of positive divisors of n, including 1 and n itself; σ() is the sum of the positive divisors of n, including 1 and n itselfs() is the sum of the proper divisors of n, including 1 but not n itself; that is, s(n) = σ(n) − n
2002 – palindromic number in decimal, base 76, 90, 142, and 11 other non-trivial bases; 2003 – Sophie Germain prime and the smallest prime number in the 2000s; 2004 – Area of the 24th crystagon [5] 2005 – A vertically symmetric number; 2006 – number of subsets of {1,2,3,4,5,6,7,8,9,10,11} with relatively prime elements [6] 2007 – 2 ...
A century leap year is a leap year in the Gregorian calendar that is evenly divisible by 400. [1] Like all leap years, it has an extra day in February for a total of 366 days instead of 365. In the obsolete Julian calendar, all years that were divisible by 4, including end-of-century years, were considered leap years. The Julian rule, however ...
There are 7 possible days to start a leap year, making a 28-year sequence. [ 1 ] This cycle also occurs in the Gregorian calendar , but it is interrupted by years such as 1700, 1800, 1900, 2100, 2200, 2300, 2500, 2600, 2700, 2900, and any year that is divisible by 100, but not by 400.