2⁴ × 5² × 41

Prime Factor Structure

Factorization String 2^4 × 5^2 × 41

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 40,362

Proper Divisor Sum 23,962

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #16381 ← → #16411

Radix Representation

Decimal	16400
Binary	100000000010000 (15 bits)
Octal	0o40020
Hexadecimal	0x4010

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1,025 1,640 2,050 3,280 4,100 8,200 16,400

Collatz Trajectory (40 steps to reach 1)

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

16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 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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