2⁵ × 3 × 11²

Prime Factor Structure

Factorization String 2^5 × 3 × 11^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 33,516

Proper Divisor Sum 21,900

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #11597 ← → #11617

Radix Representation

Decimal	11616
Binary	10110101100000 (14 bits)
Octal	0o26540
Hexadecimal	0x2D60

Divisor Catalog (36)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1,056 1,452 1,936 2,904 3,872 5,808 11,616

Collatz Trajectory (50 steps to reach 1)

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

11,616 5,808 2,904 1,452 726 363 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 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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