2⁶ × 3 × 7 × 13

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 56,896

Proper Divisor Sum 39,424

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #17471 ← → #17477

Radix Representation

Decimal	17472
Binary	100010001000000 (15 bits)
Octal	0o42100
Hexadecimal	0x4440

Divisor Catalog (56)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1,092 1,248 1,344 1,456 2,184 2,496 2,912 4,368 5,824 8,736 17,472

Collatz Trajectory (35 steps to reach 1)

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

17,472 8,736 4,368 2,184 1,092 546 273 820 410 205 616 308 154 77 232 116 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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