2⁹ × 7 × 131

Prime Factor Structure

Factorization String 2^9 × 7 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,080,288

Proper Divisor Sum 610,784

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #469501 ← → #469529

Radix Representation

Decimal	469504
Binary	1110010101000000000 (19 bits)
Octal	0o1625000
Hexadecimal	0x72A00

Divisor Catalog (40)

1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 256 262 448 512 524 896 917 1,048 1,792 1,834 2,096 3,584 3,668 4,192 7,336 8,384 14,672 16,768 29,344 33,536 58,688 67,072 117,376 234,752 469,504

Collatz Trajectory (45 steps to reach 1)

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

469,504 234,752 117,376 58,688 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 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 #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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