2⁸ × 3² × 13

Prime Factor Structure

Factorization String 2^8 × 3^2 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 93,002

Proper Divisor Sum 63,050

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #29947 ← → #29959

Radix Representation

Decimal	29952
Binary	111010100000000 (15 bits)
Octal	0o72400
Hexadecimal	0x7500

Divisor Catalog (54)

1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1,152 1,248 1,664 1,872 2,304 2,496 3,328 3,744 4,992 7,488 9,984 14,976 29,952

Collatz Trajectory (28 steps to reach 1)

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

29,952 14,976 7,488 3,744 1,872 936 468 234 117 352 176 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 #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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