2⁷ × 13 × 37

Prime Factor Structure

Factorization String 2^7 × 13 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 135,660

Proper Divisor Sum 74,092

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #61561 ← → #61583

Radix Representation

Decimal	61568
Binary	1111000010000000 (16 bits)
Octal	0o170200
Hexadecimal	0xF080

Divisor Catalog (32)

1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1,184 1,664 1,924 2,368 3,848 4,736 7,696 15,392 30,784 61,568

Collatz Trajectory (55 steps to reach 1)

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

61,568 30,784 15,392 7,696 3,848 1,924 962 481 1,444 722 361 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 #6,573,969 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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