λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,003,904
50,003,904
26 × 3 × 137 × 1901
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 137 × 1901
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 133,337,808
Proper Divisor Sum 83,333,904
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #50003903 ← → #50003923

Radix Representation

Decimal 50003904
Binary 10111110101111111111000000 (26 bits)
Octal 0o276577700
Hexadecimal 0x2FAFFC0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1,096 1,644 1,901 2,192 3,288 3,802 4,384 5,703 6,576 7,604 8,768 11,406 13,152 15,208 22,812 26,304 30,416 45,624 60,832 91,248 121,664 182,496 260,437 364,992 520,874 781,311 1,041,748 1,562,622 2,083,496 3,125,244 4,166,992 6,250,488 8,333,984 12,500,976 16,667,968 25,001,952 50,003,904

Collatz Trajectory (160 steps to reach 1)

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

50,003,904 25,001,952 12,500,976 6,250,488 3,125,244 1,562,622 781,311 2,343,934 1,171,967 3,515,902 1,757,951 5,273,854 2,636,927 7,910,782 3,955,391 11,866,174 5,933,087 17,799,262 8,899,631 26,698,894 13,349,447 40,048,342 20,024,171 60,072,514 30,036,257 90,108,772 45,054,386 22,527,193 67,581,580 33,790,790 16,895,395 50,686,186 25,343,093 76,029,280 38,014,640 19,007,320 9,503,660 4,751,830 2,375,915 7,127,746 3,563,873 10,691,620 5,345,810 2,672,905 8,018,716 4,009,358 2,004,679 6,014,038 3,007,019 9,021,058 4,510,529 13,531,588 6,765,794 3,382,897 10,148,692 5,074,346 2,537,173 7,611,520 3,805,760 1,902,880

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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