2⁵ × 19 × 79

Prime Factor Structure

Factorization String 2^5 × 19 × 79

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 100,800

Proper Divisor Sum 52,768

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #48029 ← → #48049

Radix Representation

Decimal	48032
Binary	1011101110100000 (16 bits)
Octal	0o135640
Hexadecimal	0xBBA0

Divisor Catalog (24)

1 2 4 8 16 19 32 38 76 79 152 158 304 316 608 632 1,264 1,501 2,528 3,002 6,004 12,008 24,016 48,032

Collatz Trajectory (52 steps to reach 1)

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

48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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