A page of the Numeropedia - the Special Encyclopedia of Numbers
[Math.] Sum of the first 246 cube numbers:
13+23+…+2463 = 923,005,161 = (1+2+…+246)2 = 30,3812.
[Math.] 303842 = 923,187,456, one of thirty 9-digit square numbers using all 9 digits 1-9 once. (The largest such number).
927,538,920 & 927,538,921
[Math.] The 12th square number that is the sum of squares of 2 consecutive numbers: 927,538,9202+927,538,9212 = 1,311,738,1212. 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:
(927,538,920, 927,538,921, 1,311,738,121) is the 12th Pythagorean triple (lengths of 3 sides of a right triangle), where 2 sides are consecutive integers.
[Math.] An alternating-digit prime number.
[Math.] For any xyz = 100 to 999, there are always six 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number xyz,abc,def is a multiple of 142,857.
For any xyz = 100 to 999, there are always twelve 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xyz,abc,def is a multiple of 76,923.