λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,677,755
50,677,755
3 × 5 × 59 × 173 × 331
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 59 × 173 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,185,920
Proper Divisor Sum 32,508,165
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #50677729 ← → #50677771

Radix Representation

Decimal 50677755
Binary 11000001010100011111111011 (26 bits)
Octal 0o301243773
Hexadecimal 0x30547FB

Divisor Catalog (32)

1 3 5 15 59 173 177 295 331 519 865 885 993 1,655 2,595 4,965 10,207 19,529 30,621 51,035 57,263 58,587 97,645 153,105 171,789 286,315 292,935 858,945 3,378,517 10,135,551 16,892,585 50,677,755

Collatz Trajectory (305 steps to reach 1)

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

50,677,755 152,033,266 76,016,633 228,049,900 114,024,950 57,012,475 171,037,426 85,518,713 256,556,140 128,278,070 64,139,035 192,417,106 96,208,553 288,625,660 144,312,830 72,156,415 216,469,246 108,234,623 324,703,870 162,351,935 487,055,806 243,527,903 730,583,710 365,291,855 1,095,875,566 547,937,783 1,643,813,350 821,906,675 2,465,720,026 1,232,860,013 3,698,580,040 1,849,290,020 924,645,010 462,322,505 1,386,967,516 693,483,758 346,741,879 1,040,225,638 520,112,819 1,560,338,458 780,169,229 2,340,507,688 1,170,253,844 585,126,922 292,563,461 877,690,384 438,845,192 219,422,596 109,711,298 54,855,649 164,566,948 82,283,474 41,141,737 123,425,212 61,712,606 30,856,303 92,568,910 46,284,455 138,853,366 69,426,683

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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