2² × 13 × 19 × 83

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 164,640

Proper Divisor Sum 82,636

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #82003 ← → #82007

Radix Representation

Decimal	82004
Binary	10100000001010100 (17 bits)
Octal	0o240124
Hexadecimal	0x14054

Divisor Catalog (24)

1 2 4 13 19 26 38 52 76 83 166 247 332 494 988 1,079 1,577 2,158 3,154 4,316 6,308 20,501 41,002 82,004

Collatz Trajectory (58 steps to reach 1)

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

82,004 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 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 #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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