2³ × 3² × 5 × 7 × 17

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 168,480

Proper Divisor Sum 125,640

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #42839 ← → #42841

Radix Representation

Decimal	42840
Binary	1010011101011000 (16 bits)
Octal	0o123530
Hexadecimal	0xA758

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 28 30 34 35 36 40 42 45 51 56 60 63 68 70 72 84 85 90 102 105 119 120 126 136 140 153 168 170 180 204 210 238 252 255 280 306 315 340 357 360 408 420

Collatz Trajectory (101 steps to reach 1)

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

42,840 21,420 10,710 5,355 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636

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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