2³ × 3 × 5 × 13 × 31

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 161,280

Proper Divisor Sum 112,920

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #48353 ← → #48371

Radix Representation

Decimal	48360
Binary	1011110011101000 (16 bits)
Octal	0o136350
Hexadecimal	0xBCE8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1,209 1,240 1,560 1,612 1,860 2,015 2,418 3,224 3,720 4,030 4,836 6,045 8,060 9,672

Collatz Trajectory (96 steps to reach 1)

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

48,360 24,180 12,090 6,045 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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