2⁵ × 3⁴ × 5 × 7 × 107

Prime Factor Structure

Factorization String 2^5 × 3^4 × 5 × 7 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 39,517,632

Proper Divisor Sum 29,810,592

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9707023 ← → #9707041

Radix Representation

Decimal	9707040
Binary	100101000001111000100000 (24 bits)
Octal	0o45017040
Hexadecimal	0x941E20

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 81 84 90 96 105 107 108 112 120 126 135 140 144 160 162 168 180 189 210 214 216 224 240 252 270

Collatz Trajectory (207 steps to reach 1)

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

9,707,040 4,853,520 2,426,760 1,213,380 606,690 303,345 910,036 455,018 227,509 682,528 341,264 170,632 85,316 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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