2 × 3⁴ × 5 × 11 × 47 × 113

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 11 × 47 × 113

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 143,016,192

Proper Divisor Sum 95,695,182

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #47320993 ← → #47321017

Radix Representation

Decimal	47321010
Binary	10110100100000111110110010 (26 bits)
Octal	0o264407662
Hexadecimal	0x2D20FB2

Divisor Catalog (60 of 160)

1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 81 90 94 99 110 113 135 141 162 165 198 226 235 270 282 297 330 339 405 423 470 495 517 565 594 678 705 810 846 891 990 1,017 1,034 1,130 1,243 1,269 1,410 1,485 1,551 1,695 1,782

Collatz Trajectory (142 steps to reach 1)

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

47,321,010 23,660,505 70,981,516 35,490,758 17,745,379 53,236,138 26,618,069 79,854,208 39,927,104 19,963,552 9,981,776 4,990,888 2,495,444 1,247,722 623,861 1,871,584 935,792 467,896 233,948 116,974 58,487 175,462 87,731 263,194 131,597 394,792 197,396 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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