λ
Ratio Atlas
Atlas › Integer Profiles › Node 162,180
162,180
22 × 32 × 5 × 17 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 530,712
Proper Divisor Sum 368,532
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #162143 ← → #162209

Radix Representation

Decimal 162180
Binary 100111100110000100 (18 bits)
Octal 0o474604
Hexadecimal 0x27984

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 306 318 340 477 510 530 612 636 765 795 901 954 1,020 1,060 1,530 1,590 1,802 1,908 2,385 2,703 3,060 3,180 3,604 4,505 4,770 5,406 8,109

Collatz Trajectory (64 steps to reach 1)

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

162,180 81,090 40,545 121,636 60,818 30,409 91,228 45,614 22,807 68,422 34,211 102,634 51,317 153,952 76,976 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5

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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