2⁵ × 3 × 5 × 7 × 4007

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 4007

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 48,480,768

Proper Divisor Sum 35,017,248

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #13463509 ← → #13463521

Radix Representation

Decimal	13463520
Binary	110011010110111111100000 (24 bits)
Octal	0o63267740
Hexadecimal	0xCD6FE0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1,120 1,680 3,360 4,007 8,014 12,021 16,028 20,035 24,042 28,049 32,056 40,070 48,084 56,098 60,105

Collatz Trajectory (109 steps to reach 1)

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

13,463,520 6,731,760 3,365,880 1,682,940 841,470 420,735 1,262,206 631,103 1,893,310 946,655 2,839,966 1,419,983 4,259,950 2,129,975 6,389,926 3,194,963 9,584,890 4,792,445 14,377,336 7,188,668 3,594,334 1,797,167 5,391,502 2,695,751 8,087,254 4,043,627 12,130,882 6,065,441 18,196,324 9,098,162 4,549,081 13,647,244 6,823,622 3,411,811 10,235,434 5,117,717 15,353,152 7,676,576 3,838,288 1,919,144 959,572 479,786 239,893 719,680 359,840 179,920 89,960 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236

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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