2² × 3² × 5 × 7² × 11

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 373,464

Proper Divisor Sum 276,444

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #97007 ← → #97021

Radix Representation

Decimal	97020
Binary	10111101011111100 (17 bits)
Octal	0o275374
Hexadecimal	0x17AFC

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 49 55 60 63 66 70 77 84 90 98 99 105 110 126 132 140 147 154 165 180 196 198 210 220 231 245 252 294 308 315 330 385 396 420 441

Collatz Trajectory (84 steps to reach 1)

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

97,020 48,510 24,255 72,766 36,383 109,150 54,575 163,726 81,863 245,590 122,795 368,386 184,193 552,580 276,290 138,145 414,436 207,218 103,609 310,828 155,414 77,707 233,122 116,561 349,684 174,842 87,421 262,264 131,132 65,566 32,783 98,350 49,175 147,526 73,763 221,290 110,645 331,936 165,968 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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