λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,972,318
6,972,318
2 × 34 × 193 × 223
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 193 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,774,528
Proper Divisor Sum 8,802,210
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6972313 ← → #6972319

Radix Representation

Decimal 6972318
Binary 11010100110001110011110 (23 bits)
Octal 0o32461636
Hexadecimal 0x6A639E

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 193 223 386 446 579 669 1,158 1,338 1,737 2,007 3,474 4,014 5,211 6,021 10,422 12,042 15,633 18,063 31,266 36,126 43,039 86,078 129,117 258,234 387,351 774,702 1,162,053 2,324,106 3,486,159 6,972,318

Collatz Trajectory (266 steps to reach 1)

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

6,972,318 3,486,159 10,458,478 5,229,239 15,687,718 7,843,859 23,531,578 11,765,789 35,297,368 17,648,684 8,824,342 4,412,171 13,236,514 6,618,257 19,854,772 9,927,386 4,963,693 14,891,080 7,445,540 3,722,770 1,861,385 5,584,156 2,792,078 1,396,039 4,188,118 2,094,059 6,282,178 3,141,089 9,423,268 4,711,634 2,355,817 7,067,452 3,533,726 1,766,863 5,300,590 2,650,295 7,950,886 3,975,443 11,926,330 5,963,165 17,889,496 8,944,748 4,472,374 2,236,187 6,708,562 3,354,281 10,062,844 5,031,422 2,515,711 7,547,134 3,773,567 11,320,702 5,660,351 16,981,054 8,490,527 25,471,582 12,735,791 38,207,374 19,103,687 57,311,062

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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