2⁵ × 3 × 11 × 37

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 114,912

Proper Divisor Sum 75,840

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #39047 ← → #39079

Radix Representation

Decimal	39072
Binary	1001100010100000 (16 bits)
Octal	0o114240
Hexadecimal	0x98A0

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1,056 1,184 1,221 1,628 1,776 2,442 3,256 3,552 4,884 6,512 9,768 13,024 19,536 39,072

Collatz Trajectory (44 steps to reach 1)

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

39,072 19,536 9,768 4,884 2,442 1,221 3,664 1,832 916 458 229 688 344 172 86 43 130 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 #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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