2² × 3⁴ × 7²

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7^2

Distinct Prime Factors 3

Square Status Yes (√15876 = 126)

Abundance Measure Abundant

Analytical Properties

Total Divisors 45

Divisor Sum (σ) 48,279

Proper Divisor Sum 32,403

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #15859 ← → #15877

Radix Representation

Decimal	15876
Binary	11111000000100 (14 bits)
Octal	0o37004
Hexadecimal	0x3E04

Divisor Catalog (45)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1,134 1,323 1,764 2,268 2,646 3,969 5,292 7,938 15,876

Collatz Trajectory (146 steps to reach 1)

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

15,876 7,938 3,969 11,908 5,954 2,977 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

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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