2³ × 3 × 5 × 7 × 29

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 86,400

Proper Divisor Sum 62,040

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #24359 ← → #24371

Radix Representation

Decimal	24360
Binary	101111100101000 (15 bits)
Octal	0o57450
Hexadecimal	0x5F28

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1,015 1,160 1,218 1,624 1,740 2,030 2,436 3,045 3,480 4,060 4,872

Collatz Trajectory (38 steps to reach 1)

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

24,360 12,180 6,090 3,045 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 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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