2⁴ × 3³ × 5² × 29

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,153,200

Proper Divisor Sum 840,000

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #313163 ← → #313207

Radix Representation

Decimal	313200
Binary	1001100011101110000 (19 bits)
Octal	0o1143560
Hexadecimal	0x4C770

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 36 40 45 48 50 54 58 60 72 75 80 87 90 100 108 116 120 135 144 145 150 174 180 200 216 225 232 240 261 270 290 300 348 360 400 432 435 450 464 522 540

Collatz Trajectory (202 steps to reach 1)

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

313,200 156,600 78,300 39,150 19,575 58,726 29,363 88,090 44,045 132,136 66,068 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

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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