2 × 3² × 5 × 7 × 47

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 89,856

Proper Divisor Sum 60,246

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #29599 ← → #29611

Radix Representation

Decimal	29610
Binary	111001110101010 (15 bits)
Octal	0o71652
Hexadecimal	0x73AA

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 63 70 90 94 105 126 141 210 235 282 315 329 423 470 630 658 705 846 987 1,410 1,645 1,974 2,115 2,961 3,290 4,230 4,935 5,922 9,870 14,805 29,610

Collatz Trajectory (134 steps to reach 1)

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

29,610 14,805 44,416 22,208 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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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