2⁵ × 3² × 11 × 17

Prime Factor Structure

Factorization String 2^5 × 3^2 × 11 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 176,904

Proper Divisor Sum 123,048

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #53849 ← → #53857

Radix Representation

Decimal	53856
Binary	1101001001100000 (16 bits)
Octal	0o151140
Hexadecimal	0xD260

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1,056 1,122 1,224 1,496 1,584 1,632 1,683 2,244 2,448

Collatz Trajectory (47 steps to reach 1)

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

53,856 26,928 13,464 6,732 3,366 1,683 5,050 2,525 7,576 3,788 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 #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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