2³ × 3 × 7 × 11 × 31

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 184,320

Proper Divisor Sum 127,032

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #57287 ← → #57301

Radix Representation

Decimal	57288
Binary	1101111111001000 (16 bits)
Octal	0o157710
Hexadecimal	0xDFC8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 1,023 1,302 1,364 1,736 1,848 2,046 2,387 2,604 2,728 4,092 4,774 5,208 7,161 8,184 9,548

Collatz Trajectory (135 steps to reach 1)

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

57,288 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

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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