3³ × 7² × 31

Prime Factor Structure

Factorization String 3^3 × 7^2 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 72,960

Proper Divisor Sum 31,947

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #41011 ← → #41017

Radix Representation

Decimal	41013
Binary	1010000000110101 (16 bits)
Octal	0o120065
Hexadecimal	0xA035

Divisor Catalog (24)

1 3 7 9 21 27 31 49 63 93 147 189 217 279 441 651 837 1,323 1,519 1,953 4,557 5,859 13,671 41,013

Collatz Trajectory (57 steps to reach 1)

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

41,013 123,040 61,520 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 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 #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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