2⁴ × 3² × 5 × 23 × 29

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 23 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,740,960

Proper Divisor Sum 1,260,720

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #480209 ← → #480287

Radix Representation

Decimal	480240
Binary	1110101001111110000 (19 bits)
Octal	0o1651760
Hexadecimal	0x753F0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 29 30 36 40 45 46 48 58 60 69 72 80 87 90 92 115 116 120 138 144 145 174 180 184 207 230 232 240 261 276 290 345 348 360 368 414 435 460 464 522 552 580 667 690

Collatz Trajectory (169 steps to reach 1)

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

480,240 240,120 120,060 60,030 30,015 90,046 45,023 135,070 67,535 202,606 101,303 303,910 151,955 455,866 227,933 683,800 341,900 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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