Numbers 600,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

[1M] & [10M] & [100M- [200M] - [300M] - [400M] - [500M] - [600M] - [700M] - [800M] - [900M]  & [1B]

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600,000,003

[Math.]  (Sequence of numbers 60…03).

6000000032 = 360000003600000009 = (360000003+600000009)2.

601,629,300

[Math.]  Sum (in degrees) of all internal angles of a 3,342,387-side polygon. A regular 3342387-side polygon is constructible by using only straightedge and compass.

601,769,961

[Math.]  Sum of the first 221 cube numbers:

13+23+…+2213 = 601,769,961 = (1+2+…+221)2 = 24,5312.

604,938,271

[Math.]  Multiples of 012345679 by 4, 13, 22, 31, 40, 49, 58, 67 and 76 will yield all 9 rotations of 049382716: 049382716, 160493827, 271604938, 382716049, 493827160, 604938271, 716049382, 827160493 and 938271604. All numbers are missing digit 5.

666,666,665

[Math.]  Square of numbers of similar pattern xxy, where y = x–1.

* 1102 = 012,100 & 012+100 = 112 = 110+2

* 3322 = 110,224 & 110+224 = 334 = 332+2.

Similarly, 3…322 = 1…102…24 & 1…10+2…24 = 3…34 = 3…32+2.

* 4432 = 196,249 & 196+249 = 445 = 443+2

* 6652 = 442,225 & 442+225 = 667 = 665+2.

Similarly, 6…652 = 4…422…25 & 4…42+2…25 = 6…67 = 6…65+2.

666,666,6652 = 444444442222222225 & 444444442+2222222255 = 666,666,667 = 666,666,665+2

7762 = 602,176 & 602+176 = 778 = 776+2.

xyz,abc,def

[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.