2² × 3 × 7 × 31²

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 31^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 222,432

Proper Divisor Sum 141,708

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #80713 ← → #80737

Radix Representation

Decimal	80724
Binary	10011101101010100 (17 bits)
Octal	0o235524
Hexadecimal	0x13B54

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1,302 1,922 2,604 2,883 3,844 5,766 6,727 11,532 13,454 20,181 26,908 40,362 80,724

Collatz Trajectory (45 steps to reach 1)

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

80,724 40,362 20,181 60,544 30,272 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 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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