2⁵ × 3 × 5 × 7 × 241

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 241

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,927,232

Proper Divisor Sum 2,117,472

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #809759 ← → #809771

Radix Representation

Decimal	809760
Binary	11000101101100100000 (20 bits)
Octal	0o3055440
Hexadecimal	0xC5B20

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 241 280 336 420 480 482 560 672 723 840 964 1,120 1,205 1,446 1,680 1,687 1,928 2,410 2,892 3,360 3,374 3,615

Collatz Trajectory (162 steps to reach 1)

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

809,760 404,880 202,440 101,220 50,610 25,305 75,916 37,958 18,979 56,938 28,469 85,408 42,704 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 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 9,152 4,576 2,288 1,144 572 286 143

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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