λ
Ratio Atlas
Atlas › Integer Profiles › Node 218,040
218,040
23 × 3 × 5 × 23 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 23 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 691,200
Proper Divisor Sum 473,160
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #218021 ← → #218047

Radix Representation

Decimal 218040
Binary 110101001110111000 (18 bits)
Octal 0o651670
Hexadecimal 0x353B8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 79 92 115 120 138 158 184 230 237 276 316 345 395 460 474 552 632 690 790 920 948 1,185 1,380 1,580 1,817 1,896 2,370 2,760 3,160 3,634 4,740 5,451 7,268 9,085 9,480 10,902 14,536 18,170 21,804 27,255 36,340 43,608

Collatz Trajectory (67 steps to reach 1)

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

218,040 109,020 54,510 27,255 81,766 40,883 122,650 61,325 183,976 91,988 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 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 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

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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