2³ × 3 × 7 × 11 × 23

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 138,240

Proper Divisor Sum 95,736

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #42499 ← → #42509

Radix Representation

Decimal	42504
Binary	1010011000001000 (16 bits)
Octal	0o123010
Hexadecimal	0xA608

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 462 483 506 552 616 644 759 924 966 1,012 1,288 1,518 1,771 1,848 1,932 2,024 3,036 3,542 3,864 5,313 6,072 7,084

Collatz Trajectory (57 steps to reach 1)

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

42,504 21,252 10,626 5,313 15,940 7,970 3,985 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 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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