2 × 3⁵ × 5 × 13

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 91,728

Proper Divisor Sum 60,138

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #31583 ← → #31601

Radix Representation

Decimal	31590
Binary	111101101100110 (15 bits)
Octal	0o75546
Hexadecimal	0x7B66

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1,053 1,170 1,215 1,755 2,106 2,430 3,159 3,510 5,265 6,318 10,530 15,795 31,590

Collatz Trajectory (41 steps to reach 1)

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

31,590 15,795 47,386 23,693 71,080 35,540 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 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 #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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