2⁶ × 3² × 107

Prime Factor Structure

Factorization String 2^6 × 3^2 × 107

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 178,308

Proper Divisor Sum 116,676

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #61631 ← → #61637

Radix Representation

Decimal	61632
Binary	1111000011000000 (16 bits)
Octal	0o170300
Hexadecimal	0xF0C0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 288 321 428 576 642 856 963 1,284 1,712 1,926 2,568 3,424 3,852 5,136 6,848 7,704 10,272 15,408 20,544 30,816 61,632

Collatz Trajectory (55 steps to reach 1)

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

61,632 30,816 15,408 7,704 3,852 1,926 963 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 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 #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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