2⁹ × 5 × 23

Prime Factor Structure

Factorization String 2^9 × 5 × 23

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 147,312

Proper Divisor Sum 88,432

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #58831 ← → #58889

Radix Representation

Decimal	58880
Binary	1110011000000000 (16 bits)
Octal	0o163000
Hexadecimal	0xE600

Divisor Catalog (40)

1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1,280 1,472 1,840 2,560 2,944 3,680 5,888 7,360 11,776 14,720 29,440 58,880

Collatz Trajectory (42 steps to reach 1)

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

58,880 29,440 14,720 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 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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