2⁴ × 3⁴ × 5 × 11 × 137

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 11 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 200

Divisor Sum (σ) 37,269,936

Proper Divisor Sum 27,504,576

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9765359 ← → #9765367

Radix Representation

Decimal	9765360
Binary	100101010000000111110000 (24 bits)
Octal	0o45200760
Hexadecimal	0x9501F0

Divisor Catalog (60 of 200)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 81 88 90 99 108 110 120 132 135 137 144 162 165 176 180 198 216 220 240 264 270 274 297 324 330 360 396 405 411

Collatz Trajectory (114 steps to reach 1)

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

9,765,360 4,882,680 2,441,340 1,220,670 610,335 1,831,006 915,503 2,746,510 1,373,255 4,119,766 2,059,883 6,179,650 3,089,825 9,269,476 4,634,738 2,317,369 6,952,108 3,476,054 1,738,027 5,214,082 2,607,041 7,821,124 3,910,562 1,955,281 5,865,844 2,932,922 1,466,461 4,399,384 2,199,692 1,099,846 549,923 1,649,770 824,885 2,474,656 1,237,328 618,664 309,332 154,666 77,333 232,000 116,000 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327

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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