λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,737,372
50,737,372
22 × 7 × 19 × 283 × 337
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 283 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 107,511,040
Proper Divisor Sum 56,773,668
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #50737369 ← → #50737373

Radix Representation

Decimal 50737372
Binary 11000001100011000011011100 (26 bits)
Octal 0o301430334
Hexadecimal 0x30630DC

Divisor Catalog (48)

1 2 4 7 14 19 28 38 76 133 266 283 337 532 566 674 1,132 1,348 1,981 2,359 3,962 4,718 5,377 6,403 7,924 9,436 10,754 12,806 21,508 25,612 37,639 44,821 75,278 89,642 95,371 150,556 179,284 190,742 381,484 667,597 1,335,194 1,812,049 2,670,388 3,624,098 7,248,196 12,684,343 25,368,686 50,737,372

Collatz Trajectory (155 steps to reach 1)

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

50,737,372 25,368,686 12,684,343 38,053,030 19,026,515 57,079,546 28,539,773 85,619,320 42,809,660 21,404,830 10,702,415 32,107,246 16,053,623 48,160,870 24,080,435 72,241,306 36,120,653 108,361,960 54,180,980 27,090,490 13,545,245 40,635,736 20,317,868 10,158,934 5,079,467 15,238,402 7,619,201 22,857,604 11,428,802 5,714,401 17,143,204 8,571,602 4,285,801 12,857,404 6,428,702 3,214,351 9,643,054 4,821,527 14,464,582 7,232,291 21,696,874 10,848,437 32,545,312 16,272,656 8,136,328 4,068,164 2,034,082 1,017,041 3,051,124 1,525,562 762,781 2,288,344 1,144,172 572,086 286,043 858,130 429,065 1,287,196 643,598 321,799

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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