λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,572,990
7,572,990
2 × 3 × 5 × 17 × 31 × 479
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 31 × 479
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,906,560
Proper Divisor Sum 12,333,570
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7572989 ← → #7572991

Radix Representation

Decimal 7572990
Binary 11100111000110111111110 (23 bits)
Octal 0o34706776
Hexadecimal 0x738DFE

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 479 510 527 930 958 1,054 1,437 1,581 2,395 2,635 2,874 3,162 4,790 5,270 7,185 7,905 8,143 14,370 14,849 15,810 16,286 24,429 29,698 40,715 44,547 48,858 74,245 81,430 89,094 122,145 148,490 222,735 244,290 252,433 445,470 504,866 757,299 1,262,165

Collatz Trajectory (129 steps to reach 1)

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

7,572,990 3,786,495 11,359,486 5,679,743 17,039,230 8,519,615 25,558,846 12,779,423 38,338,270 19,169,135 57,507,406 28,753,703 86,261,110 43,130,555 129,391,666 64,695,833 194,087,500 97,043,750 48,521,875 145,565,626 72,782,813 218,348,440 109,174,220 54,587,110 27,293,555 81,880,666 40,940,333 122,821,000 61,410,500 30,705,250 15,352,625 46,057,876 23,028,938 11,514,469 34,543,408 17,271,704 8,635,852 4,317,926 2,158,963 6,476,890 3,238,445 9,715,336 4,857,668 2,428,834 1,214,417 3,643,252 1,821,626 910,813 2,732,440 1,366,220 683,110 341,555 1,024,666 512,333 1,537,000 768,500 384,250 192,125 576,376 288,188

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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