λ
Ratio Atlas
Atlas › Integer Profiles › Node 749,595
749,595
3 × 5 × 7 × 112 × 59
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11^2 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,532,160
Proper Divisor Sum 782,565
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #749587 ← → #749641

Radix Representation

Decimal 749595
Binary 10110111000000011011 (20 bits)
Octal 0o2670033
Hexadecimal 0xB701B

Divisor Catalog (48)

1 3 5 7 11 15 21 33 35 55 59 77 105 121 165 177 231 295 363 385 413 605 649 847 885 1,155 1,239 1,815 1,947 2,065 2,541 3,245 4,235 4,543 6,195 7,139 9,735 12,705 13,629 21,417 22,715 35,695 49,973 68,145 107,085 149,919 249,865 749,595

Collatz Trajectory (136 steps to reach 1)

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

749,595 2,248,786 1,124,393 3,373,180 1,686,590 843,295 2,529,886 1,264,943 3,794,830 1,897,415 5,692,246 2,846,123 8,538,370 4,269,185 12,807,556 6,403,778 3,201,889 9,605,668 4,802,834 2,401,417 7,204,252 3,602,126 1,801,063 5,403,190 2,701,595 8,104,786 4,052,393 12,157,180 6,078,590 3,039,295 9,117,886 4,558,943 13,676,830 6,838,415 20,515,246 10,257,623 30,772,870 15,386,435 46,159,306 23,079,653 69,238,960 34,619,480 17,309,740 8,654,870 4,327,435 12,982,306 6,491,153 19,473,460 9,736,730 4,868,365 14,605,096 7,302,548 3,651,274 1,825,637 5,476,912 2,738,456 1,369,228 684,614 342,307 1,026,922

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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