2³ × 3⁵ × 23

Prime Factor Structure

Factorization String 2^3 × 3^5 × 23

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 131,040

Proper Divisor Sum 86,328

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #44711 ← → #44729

Radix Representation

Decimal	44712
Binary	1010111010101000 (16 bits)
Octal	0o127250
Hexadecimal	0xAEA8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1,242 1,656 1,863 1,944 2,484 3,726 4,968 5,589 7,452 11,178 14,904 22,356 44,712

Collatz Trajectory (39 steps to reach 1)

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

44,712 22,356 11,178 5,589 16,768 8,384 4,192 2,096 1,048 524 262 131 394 197 592 296 148 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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