2 × 3³ × 7 × 19 × 23 × 59

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 19 × 23 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 27,648,000

Proper Divisor Sum 17,902,026

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9745949 ← → #9745979

Radix Representation

Decimal	9745974
Binary	100101001011011000110110 (24 bits)
Octal	0o45133066
Hexadecimal	0x94B636

Divisor Catalog (60 of 128)

1 2 3 6 7 9 14 18 19 21 23 27 38 42 46 54 57 59 63 69 114 118 126 133 138 161 171 177 189 207 266 322 342 354 378 399 413 414 437 483 513 531 621 798 826 874 966 1,026 1,062 1,121 1,197 1,239 1,242 1,311 1,357 1,449 1,593 2,242 2,394 2,478

Collatz Trajectory (238 steps to reach 1)

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

9,745,974 4,872,987 14,618,962 7,309,481 21,928,444 10,964,222 5,482,111 16,446,334 8,223,167 24,669,502 12,334,751 37,004,254 18,502,127 55,506,382 27,753,191 83,259,574 41,629,787 124,889,362 62,444,681 187,334,044 93,667,022 46,833,511 140,500,534 70,250,267 210,750,802 105,375,401 316,126,204 158,063,102 79,031,551 237,094,654 118,547,327 355,641,982 177,820,991 533,462,974 266,731,487 800,194,462 400,097,231 1,200,291,694 600,145,847 1,800,437,542 900,218,771 2,700,656,314 1,350,328,157 4,050,984,472 2,025,492,236 1,012,746,118 506,373,059 1,519,119,178 759,559,589 2,278,678,768 1,139,339,384 569,669,692 284,834,846 142,417,423 427,252,270 213,626,135 640,878,406 320,439,203 961,317,610 480,658,805

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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