2⁴ × 5² × 101

Prime Factor Structure

Factorization String 2^4 × 5^2 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 98,022

Proper Divisor Sum 57,622

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #40387 ← → #40423

Radix Representation

Decimal	40400
Binary	1001110111010000 (16 bits)
Octal	0o116720
Hexadecimal	0x9DD0

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1,010 1,616 2,020 2,525 4,040 5,050 8,080 10,100 20,200 40,400

Collatz Trajectory (44 steps to reach 1)

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

40,400 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 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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