2² × 3⁴ × 7 × 23

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 162,624

Proper Divisor Sum 110,460

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #52163 ← → #52177

Radix Representation

Decimal	52164
Binary	1100101111000100 (16 bits)
Octal	0o145704
Hexadecimal	0xCBC4

Divisor Catalog (60)

1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 621 644 756 828 966 1,134 1,242 1,449 1,863 1,932 2,268 2,484 2,898 3,726 4,347 5,796 7,452 8,694 13,041 17,388 26,082 52,164

Collatz Trajectory (47 steps to reach 1)

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

52,164 26,082 13,041 39,124 19,562 9,781 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376 688 344 172 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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