2⁷ × 3 × 5 × 11 × 461

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 11 × 461

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 33,929,280

Proper Divisor Sum 24,192,960

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9736319 ← → #9736327

Radix Representation

Decimal	9736320
Binary	100101001001000010000000 (24 bits)
Octal	0o45110200
Hexadecimal	0x949080

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 461 480 528 640 660 704 880 922 960 1,056 1,320 1,383 1,408 1,760 1,844 1,920

Collatz Trajectory (207 steps to reach 1)

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

9,736,320 4,868,160 2,434,080 1,217,040 608,520 304,260 152,130 76,065 228,196 114,098 57,049 171,148 85,574 42,787 128,362 64,181 192,544 96,272 48,136 24,068 12,034 6,017 18,052 9,026 4,513 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

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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