2⁴ × 3⁵ × 5²

Prime Factor Structure

Factorization String 2^4 × 3^5 × 5^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 349,804

Proper Divisor Sum 252,604

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #97187 ← → #97213

Radix Representation

Decimal	97200
Binary	10111101110110000 (17 bits)
Octal	0o275660
Hexadecimal	0x17BB0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 243 270 300 324 360 400 405 432 450 486 540 600 648 675 720 810 900 972

Collatz Trajectory (66 steps to reach 1)

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

97,200 48,600 24,300 12,150 6,075 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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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