2⁴ × 3 × 839

Prime Factor Structure

Factorization String 2^4 × 3 × 839

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 104,160

Proper Divisor Sum 63,888

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #40253 ← → #40277

Radix Representation

Decimal	40272
Binary	1001110101010000 (16 bits)
Octal	0o116520
Hexadecimal	0x9D50

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 839 1,678 2,517 3,356 5,034 6,712 10,068 13,424 20,136 40,272

Collatz Trajectory (44 steps to reach 1)

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

40,272 20,136 10,068 5,034 2,517 7,552 3,776 1,888 944 472 236 118 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 #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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