2⁴ × 5 × 13 × 31

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 83,328

Proper Divisor Sum 51,088

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #32237 ← → #32251

Radix Representation

Decimal	32240
Binary	111110111110000 (15 bits)
Octal	0o76760
Hexadecimal	0x7DF0

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1,040 1,240 1,612 2,015 2,480 3,224 4,030 6,448 8,060 16,120 32,240

Collatz Trajectory (98 steps to reach 1)

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

32,240 16,120 8,060 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381

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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