2³ × 3² × 5 × 11 × 1187

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 1187

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,679,520

Proper Divisor Sum 11,979,000

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4700497 ← → #4700537

Radix Representation

Decimal	4700520
Binary	10001111011100101101000 (23 bits)
Octal	0o21734550
Hexadecimal	0x47B968

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1,187 1,320 1,980 2,374 3,561 3,960 4,748 5,935 7,122 9,496 10,683 11,870 13,057 14,244 17,805

Collatz Trajectory (193 steps to reach 1)

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

4,700,520 2,350,260 1,175,130 587,565 1,762,696 881,348 440,674 220,337 661,012 330,506 165,253 495,760 247,880 123,940 61,970 30,985 92,956 46,478 23,239 69,718 34,859 104,578 52,289 156,868 78,434 39,217 117,652 58,826 29,413 88,240 44,120 22,060 11,030 5,515 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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