2⁵ × 3 × 5² × 31

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 249,984

Proper Divisor Sum 175,584

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #74383 ← → #74411

Radix Representation

Decimal	74400
Binary	10010001010100000 (17 bits)
Octal	0o221240
Hexadecimal	0x122A0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 75 80 93 96 100 120 124 150 155 160 186 200 240 248 300 310 372 400 465 480 496 600 620 744 775 800 930 992 1,200 1,240 1,488 1,550 1,860 2,325 2,400 2,480 2,976 3,100

Collatz Trajectory (125 steps to reach 1)

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

74,400 37,200 18,600 9,300 4,650 2,325 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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