2² × 3² × 5² × 7 × 71

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,624,896

Proper Divisor Sum 1,177,596

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #447263 ← → #447311

Radix Representation

Decimal	447300
Binary	1101101001101000100 (19 bits)
Octal	0o1551504
Hexadecimal	0x6D344

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 71 75 84 90 100 105 126 140 142 150 175 180 210 213 225 252 284 300 315 350 355 420 426 450 497 525 630 639 700 710 852 900 994 1,050

Collatz Trajectory (169 steps to reach 1)

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

447,300 223,650 111,825 335,476 167,738 83,869 251,608 125,804 62,902 31,451 94,354 47,177 141,532 70,766 35,383 106,150 53,075 159,226 79,613 238,840 119,420 59,710 29,855 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145 453,436 226,718 113,359 340,078 170,039 510,118 255,059 765,178 382,589 1,147,768 573,884 286,942 143,471 430,414 215,207 645,622 322,811 968,434 484,217 1,452,652 726,326 363,163 1,089,490 544,745 1,634,236 817,118 408,559 1,225,678 612,839

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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