2² × 3 × 5 × 7 × 37

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 51,072

Proper Divisor Sum 35,532

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #15527 ← → #15541

Radix Representation

Decimal	15540
Binary	11110010110100 (14 bits)
Octal	0o36264
Hexadecimal	0x3CB4

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1,036 1,110 1,295 1,554 2,220 2,590 3,108 3,885 5,180 7,770 15,540

Collatz Trajectory (40 steps to reach 1)

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

15,540 7,770 3,885 11,656 5,828 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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