2⁴ × 3 × 17 × 19

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 44,640

Proper Divisor Sum 29,136

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #15497 ← → #15511

Radix Representation

Decimal	15504
Binary	11110010010000 (14 bits)
Octal	0o36220
Hexadecimal	0x3C90

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1,292 1,938 2,584 3,876 5,168 7,752 15,504

Collatz Trajectory (53 steps to reach 1)

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

15,504 7,752 3,876 1,938 969 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 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 #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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