2⁴ × 3² × 7 × 11 × 67

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 11 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,630,784

Proper Divisor Sum 1,887,888

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #742891 ← → #742897

Radix Representation

Decimal	742896
Binary	10110101010111110000 (20 bits)
Octal	0o2652760
Hexadecimal	0xB55F0

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 67 72 77 84 88 99 112 126 132 134 144 154 168 176 198 201 231 252 264 268 308 336 396 402 462 469 504 528 536 603 616 693 737 792 804

Collatz Trajectory (180 steps to reach 1)

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

742,896 371,448 185,724 92,862 46,431 139,294 69,647 208,942 104,471 313,414 156,707 470,122 235,061 705,184 352,592 176,296 88,148 44,074 22,037 66,112 33,056 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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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