2⁶ × 3 × 5 × 37

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 115,824

Proper Divisor Sum 80,304

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #35509 ← → #35521

Radix Representation

Decimal	35520
Binary	1000101011000000 (16 bits)
Octal	0o105300
Hexadecimal	0x8AC0

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1,110 1,184 1,480 1,776 2,220 2,368 2,960 3,552 4,440 5,920 7,104 8,880 11,840 17,760 35,520

Collatz Trajectory (36 steps to reach 1)

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

35,520 17,760 8,880 4,440 2,220 1,110 555 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 #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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