The Year 2025 is going to be a unique year of the present century (2001 – 2100). Why?? Let us analyze it mathematically. It consists of a pair of 2s with a zero in between and ends with a 5 (all whole numbers – set of W). While 2 & 5 are Prime numbers, 0 (zero) is itself a unique digit (discovered/ invented by the Indian Mathematicians long ago).
The factors of 2025 are 3x3x3x3x5x5 then 3² x3²x 5² and 3 x 5²
Therefore it is the perfect square of 3x3x5 or 45. This means 45×45 is 2025.
Let us add these digits of 2025 as 2+0+2+5 = 9
Therefore 2025 is divisible by all odd numbers less than 10, other than 7, and can divide 2025 perfectly.
There is 5 in the units place of 2025, hence it is divisible by 5.
Hence 2025 is divisible by 1, 3, 5 & 9
Let us see square of some numbers as 1²=1, 2²= 4, 3²=9, 4²=16, 5²=25 …. 44²=1936, 45²=2025, 46²=2116.
So 2025 = 45×45
It is interesting to find that 2025 is the one and only square number of the 21st century. 2025 is coming 89 years after 1936, which is square of 44. Next such occurrence would be in the year 2116 which is a square of 46 and will come 91 years after 2025 in the 22nd century. This observation is made on the basis of taking squares of numbers – 44, 45 and 46.
Let us see some cubes of single digits n³=nxnxn
1³ = 1. 2³ = 8. 3³=27. 4³=64. 5³=125. 6³=216. 7³=343. 8³=512. 9³=729.
By adding all the above cubes of the single digits we get 2025. So 2025 is a unique mathematical number as an year to celebrate.
(Article by Shri Jagtaran Singh Sethi, resident of Breach Candy & Maths teacher since more than 40 years. His father Late Prof. Waryam Singh and uncle Prof. Kuldip Singh were eminent teachers of Mathematics for three generations during the last half of 20th Century. Mr Sethi has written a book in their memory recently “Two Wizards of Mathematics from India” and copies are available for their ex-students or lovers of Mathematics on his mobile number 98921 04368)
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