2³ × 3⁴ × 5² × 29

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,687,950

Proper Divisor Sum 1,218,150

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #469793 ← → #469801

Radix Representation

Decimal	469800
Binary	1110010101100101000 (19 bits)
Octal	0o1625450
Hexadecimal	0x72B28

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 29 30 36 40 45 50 54 58 60 72 75 81 87 90 100 108 116 120 135 145 150 162 174 180 200 216 225 232 261 270 290 300 324 348 360 405 435 450 522 540 580 600 648 675

Collatz Trajectory (200 steps to reach 1)

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

469,800 234,900 117,450 58,725 176,176 88,088 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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