2⁵ × 3² × 5 × 11 × 47

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 11 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 2,830,464

Proper Divisor Sum 2,085,984

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #744451 ← → #744493

Radix Representation

Decimal	744480
Binary	10110101110000100000 (20 bits)
Octal	0o2656040
Hexadecimal	0xB5C20

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 47 48 55 60 66 72 80 88 90 94 96 99 110 120 132 141 144 160 165 176 180 188 198 220 235 240 264 282 288 330 352 360 376 396 423 440

Collatz Trajectory (118 steps to reach 1)

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

744,480 372,240 186,120 93,060 46,530 23,265 69,796 34,898 17,449 52,348 26,174 13,087 39,262 19,631 58,894 29,447 88,342 44,171 132,514 66,257 198,772 99,386 49,693 149,080 74,540 37,270 18,635 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349

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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