2⁴ × 3 × 13 × 59

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 104,160

Proper Divisor Sum 67,344

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #36809 ← → #36821

Radix Representation

Decimal	36816
Binary	1000111111010000 (16 bits)
Octal	0o107720
Hexadecimal	0x8FD0

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1,416 1,534 2,301 2,832 3,068 4,602 6,136 9,204 12,272 18,408 36,816

Collatz Trajectory (49 steps to reach 1)

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

36,816 18,408 9,204 4,602 2,301 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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