λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,554,265
48,554,265
3 × 5 × 232 × 29 × 211
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 23^2 × 29 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 84,409,920
Proper Divisor Sum 35,855,655
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #48554263 ← → #48554279

Radix Representation

Decimal 48554265
Binary 10111001001110000100011001 (26 bits)
Octal 0o271160431
Hexadecimal 0x2E4E119

Divisor Catalog (48)

1 3 5 15 23 29 69 87 115 145 211 345 435 529 633 667 1,055 1,587 2,001 2,645 3,165 3,335 4,853 6,119 7,935 10,005 14,559 15,341 18,357 24,265 30,595 46,023 72,795 76,705 91,785 111,619 140,737 230,115 334,857 422,211 558,095 703,685 1,674,285 2,111,055 3,236,951 9,710,853 16,184,755 48,554,265

Collatz Trajectory (137 steps to reach 1)

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

48,554,265 145,662,796 72,831,398 36,415,699 109,247,098 54,623,549 163,870,648 81,935,324 40,967,662 20,483,831 61,451,494 30,725,747 92,177,242 46,088,621 138,265,864 69,132,932 34,566,466 17,283,233 51,849,700 25,924,850 12,962,425 38,887,276 19,443,638 9,721,819 29,165,458 14,582,729 43,748,188 21,874,094 10,937,047 32,811,142 16,405,571 49,216,714 24,608,357 73,825,072 36,912,536 18,456,268 9,228,134 4,614,067 13,842,202 6,921,101 20,763,304 10,381,652 5,190,826 2,595,413 7,786,240 3,893,120 1,946,560 973,280 486,640 243,320 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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