2² × 3 × 5² × 11 × 13 × 367

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 11 × 13 × 367

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 53,663,232

Proper Divisor Sum 37,918,932

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #15744299 ← → #15744307

Radix Representation

Decimal	15744300
Binary	111100000011110100101100 (24 bits)
Octal	0o74036454
Hexadecimal	0xF03D2C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 367 390 429 550 572 650 660 715 734 780 825 858 975 1,100 1,101 1,300 1,430

Collatz Trajectory (174 steps to reach 1)

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

15,744,300 7,872,150 3,936,075 11,808,226 5,904,113 17,712,340 8,856,170 4,428,085 13,284,256 6,642,128 3,321,064 1,660,532 830,266 415,133 1,245,400 622,700 311,350 155,675 467,026 233,513 700,540 350,270 175,135 525,406 262,703 788,110 394,055 1,182,166 591,083 1,773,250 886,625 2,659,876 1,329,938 664,969 1,994,908 997,454 498,727 1,496,182 748,091 2,244,274 1,122,137 3,366,412 1,683,206 841,603 2,524,810 1,262,405 3,787,216 1,893,608 946,804 473,402 236,701 710,104 355,052 177,526 88,763 266,290 133,145 399,436 199,718 99,859

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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