Numbers 4,600,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

4,000,000 4,100,0004,200,0004,300,0004,400,000

4,500,0004,600,0004,700,0004,800,0004,900,000

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4,601,025

[Math.]  Sum of the first 65 cube numbers:

13+23+…+643+653 = 4,601,025 = (1+2+…+64+65)2 = 21452.

 

4,604,776

[Math.]  A pair of amicable numbers (4604776, 5162774).

 

4,609,609

[Math.]  21472 = 4,609,609.

 

4,615,380

[Math.]  076,923×50 = 4,615,380 and 4+615,380 = 615,384, a digit-rotation of 153,846 = 076,923×2.

 

4,651,328

[Math]  21,634,852,163,584 = 4,651,3282, each digit is duplicated. (References [15])

 

4,684,659 & 4,684,660

[Math.]  The 9th square number that is the sum of squares of 2 consecutive numbers: 6,625,1092 = 43,892,069,261,881 = 4,684,6592+4,684,6602. Each root number in the series is 6 times the previous root number minus the earlier root number: 1, 52, 292, 1692, 9852

Or in other words:

(4,684,659, 4,684,660, 6,625,109) is the 9th Pythagorean triple (lengths of 3 sides of a right triangle), where 2 sides are consecutive integers.

 

4,692,303

[Math.]  076,923×61 = 4,692,303 and 4+692,303 = 692,307, a digit-rotation of 076,923.

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References [15]