2⁴ × 3⁴ × 7 × 83

Prime Factor Structure

Factorization String 2^4 × 3^4 × 7 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 2,520,672

Proper Divisor Sum 1,767,696

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #752933 ← → #752977

Radix Representation

Decimal	752976
Binary	10110111110101010000 (20 bits)
Octal	0o2676520
Hexadecimal	0xB7D50

Divisor Catalog (60 of 100)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 83 84 108 112 126 144 162 166 168 189 216 249 252 324 332 336 378 432 498 504 567 581 648 664 747 756 996 1,008 1,134 1,162 1,296 1,328 1,494 1,512 1,743 1,992

Collatz Trajectory (56 steps to reach 1)

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

752,976 376,488 188,244 94,122 47,061 141,184 70,592 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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