2² × 3⁶ × 11

Prime Factor Structure

Factorization String 2^2 × 3^6 × 11

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 91,812

Proper Divisor Sum 59,736

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #32069 ← → #32077

Radix Representation

Decimal	32076
Binary	111110101001100 (15 bits)
Octal	0o76514
Hexadecimal	0x7D4C

Divisor Catalog (42)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1,188 1,458 1,782 2,673 2,916 3,564 5,346 8,019 10,692 16,038 32,076

Collatz Trajectory (160 steps to reach 1)

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

32,076 16,038 8,019 24,058 12,029 36,088 18,044 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982

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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