2⁴ × 3² × 293

Prime Factor Structure

Factorization String 2^4 × 3^2 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 118,482

Proper Divisor Sum 76,290

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #42187 ← → #42193

Radix Representation

Decimal	42192
Binary	1010010011010000 (16 bits)
Octal	0o122320
Hexadecimal	0xA4D0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1,172 1,758 2,344 2,637 3,516 4,688 5,274 7,032 10,548 14,064 21,096 42,192

Collatz Trajectory (57 steps to reach 1)

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

42,192 21,096 10,548 5,274 2,637 7,912 3,956 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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