2⁴ × 3 × 11 × 29

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 44,640

Proper Divisor Sum 29,328

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #15307 ← → #15313

Radix Representation

Decimal	15312
Binary	11101111010000 (14 bits)
Octal	0o35720
Hexadecimal	0x3BD0

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1,276 1,392 1,914 2,552 3,828 5,104 7,656 15,312

Collatz Trajectory (58 steps to reach 1)

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

15,312 7,656 3,828 1,914 957 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 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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