2⁸ × 3 × 5⁴

Prime Factor Structure

Factorization String 2^8 × 3 × 5^4

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 1,596,364

Proper Divisor Sum 1,116,364

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #479971 ← → #480013

Radix Representation

Decimal	480000
Binary	1110101001100000000 (19 bits)
Octal	0o1651400
Hexadecimal	0x75300

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 625 640 750 768 800 960 1,000 1,200 1,250 1,280 1,500 1,600 1,875 1,920 2,000 2,400 2,500

Collatz Trajectory (182 steps to reach 1)

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

480,000 240,000 120,000 60,000 30,000 15,000 7,500 3,750 1,875 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296

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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