2⁸ × 5 × 61

Prime Factor Structure

Factorization String 2^8 × 5 × 61

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 190,092

Proper Divisor Sum 112,012

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #78079 ← → #78101

Radix Representation

Decimal	78080
Binary	10011000100000000 (17 bits)
Octal	0o230400
Hexadecimal	0x13100

Divisor Catalog (36)

1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1,220 1,280 1,952 2,440 3,904 4,880 7,808 9,760 15,616 19,520 39,040 78,080

Collatz Trajectory (45 steps to reach 1)

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

78,080 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 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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