λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,758,350
48,758,350
2 × 52 × 31 × 83 × 379
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 31 × 83 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 94,993,920
Proper Divisor Sum 46,235,570
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #48758299 ← → #48758387

Radix Representation

Decimal 48758350
Binary 10111001111111111001001110 (26 bits)
Octal 0o271777116
Hexadecimal 0x2E7FE4E

Divisor Catalog (48)

1 2 5 10 25 31 50 62 83 155 166 310 379 415 758 775 830 1,550 1,895 2,075 2,573 3,790 4,150 5,146 9,475 11,749 12,865 18,950 23,498 25,730 31,457 58,745 62,914 64,325 117,490 128,650 157,285 293,725 314,570 587,450 786,425 975,167 1,572,850 1,950,334 4,875,835 9,751,670 24,379,175 48,758,350

Collatz Trajectory (243 steps to reach 1)

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

48,758,350 24,379,175 73,137,526 36,568,763 109,706,290 54,853,145 164,559,436 82,279,718 41,139,859 123,419,578 61,709,789 185,129,368 92,564,684 46,282,342 23,141,171 69,423,514 34,711,757 104,135,272 52,067,636 26,033,818 13,016,909 39,050,728 19,525,364 9,762,682 4,881,341 14,644,024 7,322,012 3,661,006 1,830,503 5,491,510 2,745,755 8,237,266 4,118,633 12,355,900 6,177,950 3,088,975 9,266,926 4,633,463 13,900,390 6,950,195 20,850,586 10,425,293 31,275,880 15,637,940 7,818,970 3,909,485 11,728,456 5,864,228 2,932,114 1,466,057 4,398,172 2,199,086 1,099,543 3,298,630 1,649,315 4,947,946 2,473,973 7,421,920 3,710,960 1,855,480

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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