λ
Ratio Atlas
Atlas › Integer Profiles › Node 86,130
86,130
2 × 33 × 5 × 11 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 11 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 259,200
Proper Divisor Sum 173,070
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #86117 ← → #86131

Radix Representation

Decimal 86130
Binary 10101000001110010 (17 bits)
Octal 0o250162
Hexadecimal 0x15072

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 261 270 290 297 319 330 435 495 522 594 638 783 870 957 990 1,305 1,485 1,566 1,595 1,914 2,610 2,871 2,970 3,190 3,915 4,785 5,742 7,830 8,613 9,570 14,355

Collatz Trajectory (76 steps to reach 1)

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

86,130 43,065 129,196 64,598 32,299 96,898 48,449 145,348 72,674 36,337 109,012 54,506 27,253 81,760 40,880 20,440 10,220 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 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 #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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