2⁶ × 3² × 5 × 11 × 311

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 11 × 311

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 37,088,064

Proper Divisor Sum 27,235,584

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9852467 ← → #9852509

Radix Representation

Decimal	9852480
Binary	100101100101011001000000 (24 bits)
Octal	0o45453100
Hexadecimal	0x965640

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 192 198 220 240 264 288 311 320 330 352 360 396 440 480 495 528 576

Collatz Trajectory (83 steps to reach 1)

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

9,852,480 4,926,240 2,463,120 1,231,560 615,780 307,890 153,945 461,836 230,918 115,459 346,378 173,189 519,568 259,784 129,892 64,946 32,473 97,420 48,710 24,355 73,066 36,533 109,600 54,800 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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