2⁶ × 3² × 13 × 29

Prime Factor Structure

Factorization String 2^6 × 3^2 × 13 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 693,420

Proper Divisor Sum 476,268

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #217121 ← → #217157

Radix Representation

Decimal	217152
Binary	110101000001000000 (18 bits)
Octal	0o650100
Hexadecimal	0x35040

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 87 96 104 116 117 144 156 174 192 208 232 234 261 288 312 348 377 416 464 468 522 576 624 696 754 832 928 936 1,044 1,131 1,248 1,392 1,508 1,856 1,872 2,088 2,262

Collatz Trajectory (49 steps to reach 1)

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

217,152 108,576 54,288 27,144 13,572 6,786 3,393 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 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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