λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,522,150
48,522,150
2 × 32 × 52 × 107827
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 107827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 130,364,052
Proper Divisor Sum 81,841,902
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #48522139 ← → #48522179

Radix Representation

Decimal 48522150
Binary 10111001000110001110100110 (26 bits)
Octal 0o271061646
Hexadecimal 0x2E463A6

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 107,827 215,654 323,481 539,135 646,962 970,443 1,078,270 1,617,405 1,940,886 2,695,675 3,234,810 4,852,215 5,391,350 8,087,025 9,704,430 16,174,050 24,261,075 48,522,150

Collatz Trajectory (261 steps to reach 1)

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

48,522,150 24,261,075 72,783,226 36,391,613 109,174,840 54,587,420 27,293,710 13,646,855 40,940,566 20,470,283 61,410,850 30,705,425 92,116,276 46,058,138 23,029,069 69,087,208 34,543,604 17,271,802 8,635,901 25,907,704 12,953,852 6,476,926 3,238,463 9,715,390 4,857,695 14,573,086 7,286,543 21,859,630 10,929,815 32,789,446 16,394,723 49,184,170 24,592,085 73,776,256 36,888,128 18,444,064 9,222,032 4,611,016 2,305,508 1,152,754 576,377 1,729,132 864,566 432,283 1,296,850 648,425 1,945,276 972,638 486,319 1,458,958 729,479 2,188,438 1,094,219 3,282,658 1,641,329 4,923,988 2,461,994 1,230,997 3,692,992 1,846,496

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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