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Ratio Atlas
Atlas › Integer Profiles › Node 86,040
86,040
23 × 32 × 5 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 280,800
Proper Divisor Sum 194,760
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #86029 ← → #86069

Radix Representation

Decimal 86040
Binary 10101000000011000 (17 bits)
Octal 0o250030
Hexadecimal 0x15018

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 956 1,195 1,434 1,912 2,151 2,390 2,868 3,585 4,302 4,780 5,736 7,170 8,604 9,560 10,755 14,340 17,208 21,510 28,680 43,020 86,040

Collatz Trajectory (76 steps to reach 1)

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

86,040 43,020 21,510 10,755 32,266 16,133 48,400 24,200 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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