λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,320
80,320
26 × 5 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 192,024
Proper Divisor Sum 111,704
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #80317 ← → #80329

Radix Representation

Decimal 80320
Binary 10011100111000000 (17 bits)
Octal 0o234700
Hexadecimal 0x139C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 251 320 502 1,004 1,255 2,008 2,510 4,016 5,020 8,032 10,040 16,064 20,080 40,160 80,320

Collatz Trajectory (94 steps to reach 1)

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

80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077

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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