2⁵ × 5 × 13²

Prime Factor Structure

Factorization String 2^5 × 5 × 13^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 69,174

Proper Divisor Sum 42,134

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #27031 ← → #27043

Radix Representation

Decimal	27040
Binary	110100110100000 (15 bits)
Octal	0o64640
Hexadecimal	0x69A0

Divisor Catalog (36)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1,040 1,352 1,690 2,080 2,704 3,380 5,408 6,760 13,520 27,040

Collatz Trajectory (46 steps to reach 1)

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

27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 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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