2¹⁰ × 3² × 53

Prime Factor Structure

Factorization String 2^10 × 3^2 × 53

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 66

Divisor Sum (σ) 1,436,994

Proper Divisor Sum 948,546

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #488441 ← → #488459

Radix Representation

Decimal	488448
Binary	1110111010000000000 (19 bits)
Octal	0o1672000
Hexadecimal	0x77400

Divisor Catalog (60 of 66)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1,024 1,152 1,272 1,536 1,696 1,908 2,304 2,544 3,072 3,392 3,816 4,608 5,088 6,784 7,632 9,216 10,176 13,568 15,264 20,352 27,136 30,528 40,704 54,272

Collatz Trajectory (45 steps to reach 1)

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

488,448 244,224 122,112 61,056 30,528 15,264 7,632 3,816 1,908 954 477 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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