2³ × 3⁶ × 5² × 67

Prime Factor Structure

Factorization String 2^3 × 3^6 × 5^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 34,560,660

Proper Divisor Sum 24,792,060

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9768599 ← → #9768617

Radix Representation

Decimal	9768600
Binary	100101010000111010011000 (24 bits)
Octal	0o45207230
Hexadecimal	0x950E98

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 67 72 75 81 90 100 108 120 134 135 150 162 180 200 201 216 225 243 268 270 300 324 335 360 402 405 450 486 536 540 600 603 648 670 675 729 804

Collatz Trajectory (119 steps to reach 1)

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

9,768,600 4,884,300 2,442,150 1,221,075 3,663,226 1,831,613 5,494,840 2,747,420 1,373,710 686,855 2,060,566 1,030,283 3,090,850 1,545,425 4,636,276 2,318,138 1,159,069 3,477,208 1,738,604 869,302 434,651 1,303,954 651,977 1,955,932 977,966 488,983 1,466,950 733,475 2,200,426 1,100,213 3,300,640 1,650,320 825,160 412,580 206,290 103,145 309,436 154,718 77,359 232,078 116,039 348,118 174,059 522,178 261,089 783,268 391,634 195,817 587,452 293,726 146,863 440,590 220,295 660,886 330,443 991,330 495,665 1,486,996 743,498 371,749

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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