2² × 31 × 331

Prime Factor Structure

Factorization String 2^2 × 31 × 331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 74,368

Proper Divisor Sum 33,324

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #41039 ← → #41047

Radix Representation

Decimal	41044
Binary	1010000001010100 (16 bits)
Octal	0o120124
Hexadecimal	0xA054

Divisor Catalog (12)

1 2 4 31 62 124 331 662 1,324 10,261 20,522 41,044

Collatz Trajectory (57 steps to reach 1)

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

41,044 20,522 10,261 30,784 15,392 7,696 3,848 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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