2³ × 3 × 7 × 11 × 13 × 31

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 13 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 2,580,480

Proper Divisor Sum 1,835,736

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #744739 ← → #744761

Radix Representation

Decimal	744744
Binary	10110101110100101000 (20 bits)
Octal	0o2656450
Hexadecimal	0xB5D28

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 31 33 39 42 44 52 56 62 66 77 78 84 88 91 93 104 124 132 143 154 156 168 182 186 217 231 248 264 273 286 308 312 341 364 372 403 429 434 462 546 572 616 651 682

Collatz Trajectory (87 steps to reach 1)

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

744,744 372,372 186,186 93,093 279,280 139,640 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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