2¹¹ × 11 × 17

Prime Factor Structure

Factorization String 2^11 × 11 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 884,520

Proper Divisor Sum 501,544

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #382961 ← → #382979

Radix Representation

Decimal	382976
Binary	1011101100000000000 (19 bits)
Octal	0o1354000
Hexadecimal	0x5D800

Divisor Catalog (48)

1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1,024 1,088 1,408 1,496 2,048 2,176 2,816 2,992 4,352 5,632 5,984 8,704 11,264 11,968 17,408 22,528 23,936 34,816 47,872 95,744 191,488 382,976

Collatz Trajectory (55 steps to reach 1)

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

382,976 191,488 95,744 47,872 23,936 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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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