2² × 3 × 7 × 11 × 31

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 86,016

Proper Divisor Sum 57,372

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #28643 ← → #28649

Radix Representation

Decimal	28644
Binary	110111111100100 (15 bits)
Octal	0o67744
Hexadecimal	0x6FE4

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1,023 1,302 1,364 2,046 2,387 2,604 4,092 4,774 7,161 9,548 14,322 28,644

Collatz Trajectory (134 steps to reach 1)

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

28,644 14,322 7,161 21,484 10,742 5,371 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275

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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