2³ × 3 × 7 × 241

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 116,160

Proper Divisor Sum 75,672

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #40487 ← → #40493

Radix Representation

Decimal	40488
Binary	1001111000101000 (16 bits)
Octal	0o117050
Hexadecimal	0x9E28

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 1,446 1,687 1,928 2,892 3,374 5,061 5,784 6,748 10,122 13,496 20,244 40,488

Collatz Trajectory (44 steps to reach 1)

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

40,488 20,244 10,122 5,061 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 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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