2⁵ × 3 × 5² × 11 × 29

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 11 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 2,812,320

Proper Divisor Sum 2,046,720

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #765587 ← → #765613

Radix Representation

Decimal	765600
Binary	10111010111010100000 (20 bits)
Octal	0o2727240
Hexadecimal	0xBAEA0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 40 44 48 50 55 58 60 66 75 80 87 88 96 100 110 116 120 132 145 150 160 165 174 176 200 220 232 240 264 275 290 300 319 330 348 352 400 435 440 464

Collatz Trajectory (56 steps to reach 1)

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

765,600 382,800 191,400 95,700 47,850 23,925 71,776 35,888 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 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 #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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