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Ratio Atlas
Atlas › Integer Profiles › Node 776,991
776,991
3 × 41 × 6317
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 41 × 6317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,061,424
Proper Divisor Sum 284,433
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #776987 ← → #777001

Radix Representation

Decimal 776991
Binary 10111101101100011111 (20 bits)
Octal 0o2755437
Hexadecimal 0xBDB1F

Divisor Catalog (8)

1 3 41 123 6,317 18,951 258,997 776,991

Collatz Trajectory (255 steps to reach 1)

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

776,991 2,330,974 1,165,487 3,496,462 1,748,231 5,244,694 2,622,347 7,867,042 3,933,521 11,800,564 5,900,282 2,950,141 8,850,424 4,425,212 2,212,606 1,106,303 3,318,910 1,659,455 4,978,366 2,489,183 7,467,550 3,733,775 11,201,326 5,600,663 16,801,990 8,400,995 25,202,986 12,601,493 37,804,480 18,902,240 9,451,120 4,725,560 2,362,780 1,181,390 590,695 1,772,086 886,043 2,658,130 1,329,065 3,987,196 1,993,598 996,799 2,990,398 1,495,199 4,485,598 2,242,799 6,728,398 3,364,199 10,092,598 5,046,299 15,138,898 7,569,449 22,708,348 11,354,174 5,677,087 17,031,262 8,515,631 25,546,894 12,773,447 38,320,342

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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