2 × 3 × 7 × 31²

Prime Factor Structure

Factorization String 2 × 3 × 7 × 31^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 95,328

Proper Divisor Sum 54,966

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #40361 ← → #40387

Radix Representation

Decimal	40362
Binary	1001110110101010 (16 bits)
Octal	0o116652
Hexadecimal	0x9DAA

Divisor Catalog (24)

1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 961 1,302 1,922 2,883 5,766 6,727 13,454 20,181 40,362

Collatz Trajectory (44 steps to reach 1)

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

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 #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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