2⁴ × 3³ × 5² × 463

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5^2 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 17,836,160

Proper Divisor Sum 12,835,760

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #5000399 ← → #5000423

Radix Representation

Decimal	5000400
Binary	10011000100110011010000 (23 bits)
Octal	0o23046320
Hexadecimal	0x4C4CD0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 463 540 600 675 720 900 926 1,080 1,200 1,350 1,389 1,800 1,852 2,160

Collatz Trajectory (113 steps to reach 1)

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

5,000,400 2,500,200 1,250,100 625,050 312,525 937,576 468,788 234,394 117,197 351,592 175,796 87,898 43,949 131,848 65,924 32,962 16,481 49,444 24,722 12,361 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291

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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