2⁴ × 5 × 509

Prime Factor Structure

Factorization String 2^4 × 5 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 94,860

Proper Divisor Sum 54,140

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #40709 ← → #40739

Radix Representation

Decimal	40720
Binary	1001111100010000 (16 bits)
Octal	0o117420
Hexadecimal	0x9F10

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 509 1,018 2,036 2,545 4,072 5,090 8,144 10,180 20,360 40,720

Collatz Trajectory (44 steps to reach 1)

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

40,720 20,360 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 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 #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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