2⁵ × 5 × 11 × 17

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 81,648

Proper Divisor Sum 51,728

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #29917 ← → #29921

Radix Representation

Decimal	29920
Binary	111010011100000 (15 bits)
Octal	0o72340
Hexadecimal	0x74E0

Divisor Catalog (48)

1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1,360 1,496 1,760 1,870 2,720 2,992 3,740 5,984 7,480 14,960 29,920

Collatz Trajectory (134 steps to reach 1)

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

29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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