2³ × 3⁶ × 5

Prime Factor Structure

Factorization String 2^3 × 3^6 × 5

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 98,370

Proper Divisor Sum 69,210

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #29153 ← → #29167

Radix Representation

Decimal	29160
Binary	111000111101000 (15 bits)
Octal	0o70750
Hexadecimal	0x71E8

Divisor Catalog (56)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1,080 1,215 1,458 1,620 1,944 2,430 2,916 3,240 3,645 4,860 5,832 7,290 9,720 14,580 29,160

Collatz Trajectory (46 steps to reach 1)

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

29,160 14,580 7,290 3,645 10,936 5,468 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 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 #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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