λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,643,305
39,643,305
3 × 5 × 13 × 263 × 773
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 263 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,656,896
Proper Divisor Sum 29,013,591
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #39643301 ← → #39643321

Radix Representation

Decimal 39643305
Binary 10010111001110100010101001 (26 bits)
Octal 0o227164251
Hexadecimal 0x25CE8A9

Divisor Catalog (32)

1 3 5 13 15 39 65 195 263 773 789 1,315 2,319 3,419 3,865 3,945 10,049 10,257 11,595 17,095 30,147 50,245 51,285 150,735 203,299 609,897 1,016,495 2,642,887 3,049,485 7,928,661 13,214,435 39,643,305

Collatz Trajectory (227 steps to reach 1)

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

39,643,305 118,929,916 59,464,958 29,732,479 89,197,438 44,598,719 133,796,158 66,898,079 200,694,238 100,347,119 301,041,358 150,520,679 451,562,038 225,781,019 677,343,058 338,671,529 1,016,014,588 508,007,294 254,003,647 762,010,942 381,005,471 1,143,016,414 571,508,207 1,714,524,622 857,262,311 2,571,786,934 1,285,893,467 3,857,680,402 1,928,840,201 5,786,520,604 2,893,260,302 1,446,630,151 4,339,890,454 2,169,945,227 6,509,835,682 3,254,917,841 9,764,753,524 4,882,376,762 2,441,188,381 7,323,565,144 3,661,782,572 1,830,891,286 915,445,643 2,746,336,930 1,373,168,465 4,119,505,396 2,059,752,698 1,029,876,349 3,089,629,048 1,544,814,524 772,407,262 386,203,631 1,158,610,894 579,305,447 1,737,916,342 868,958,171 2,606,874,514 1,303,437,257 3,910,311,772 1,955,155,886

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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