λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,117,462
51,117,462
2 × 32 × 11 × 431 × 599
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 431 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 121,305,600
Proper Divisor Sum 70,188,138
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51117439 ← → #51117463

Radix Representation

Decimal 51117462
Binary 11000010111111110110010110 (26 bits)
Octal 0o302776626
Hexadecimal 0x30BFD96

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 99 198 431 599 862 1,198 1,293 1,797 2,586 3,594 3,879 4,741 5,391 6,589 7,758 9,482 10,782 13,178 14,223 19,767 28,446 39,534 42,669 59,301 85,338 118,602 258,169 516,338 774,507 1,549,014 2,323,521 2,839,859 4,647,042 5,679,718 8,519,577 17,039,154 25,558,731 51,117,462

Collatz Trajectory (124 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

51,117,462 25,558,731 76,676,194 38,338,097 115,014,292 57,507,146 28,753,573 86,260,720 43,130,360 21,565,180 10,782,590 5,391,295 16,173,886 8,086,943 24,260,830 12,130,415 36,391,246 18,195,623 54,586,870 27,293,435 81,880,306 40,940,153 122,820,460 61,410,230 30,705,115 92,115,346 46,057,673 138,173,020 69,086,510 34,543,255 103,629,766 51,814,883 155,444,650 77,722,325 233,166,976 116,583,488 58,291,744 29,145,872 14,572,936 7,286,468 3,643,234 1,821,617 5,464,852 2,732,426 1,366,213 4,098,640 2,049,320 1,024,660 512,330 256,165 768,496 384,248 192,124 96,062 48,031 144,094 72,047 216,142 108,071 324,214

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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