2³ × 5² × 7 × 17

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 66,960

Proper Divisor Sum 43,160

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #23789 ← → #23801

Radix Representation

Decimal	23800
Binary	101110011111000 (15 bits)
Octal	0o56370
Hexadecimal	0x5CF8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1,190 1,400 1,700 2,380 2,975 3,400 4,760 5,950 11,900 23,800

Collatz Trajectory (51 steps to reach 1)

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

23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 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 #6,449,649 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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