2⁴ × 3 × 7 × 13 × 23 × 97

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 23 × 97

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 32,664,576

Proper Divisor Sum 22,919,568

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9744997 ← → #9745009

Radix Representation

Decimal	9745008
Binary	100101001011001001110000 (24 bits)
Octal	0o45131160
Hexadecimal	0x94B270

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 97 104 112 138 156 161 168 182 184 194 208 273 276 291 299 312 322 336 364 368 388 483 546 552 582 598 624 644 679 728 776 897 966

Collatz Trajectory (362 steps to reach 1)

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

9,745,008 4,872,504 2,436,252 1,218,126 609,063 1,827,190 913,595 2,740,786 1,370,393 4,111,180 2,055,590 1,027,795 3,083,386 1,541,693 4,625,080 2,312,540 1,156,270 578,135 1,734,406 867,203 2,601,610 1,300,805 3,902,416 1,951,208 975,604 487,802 243,901 731,704 365,852 182,926 91,463 274,390 137,195 411,586 205,793 617,380 308,690 154,345 463,036 231,518 115,759 347,278 173,639 520,918 260,459 781,378 390,689 1,172,068 586,034 293,017 879,052 439,526 219,763 659,290 329,645 988,936 494,468 247,234 123,617 370,852

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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