λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,024,508
8,024,508
22 × 34 × 24767
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 24767
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 20,978,496
Proper Divisor Sum 12,953,988
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8024453 ← → #8024509

Radix Representation

Decimal 8024508
Binary 11110100111000110111100 (23 bits)
Octal 0o36470674
Hexadecimal 0x7A71BC

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 24,767 49,534 74,301 99,068 148,602 222,903 297,204 445,806 668,709 891,612 1,337,418 2,006,127 2,674,836 4,012,254 8,024,508

Collatz Trajectory (292 steps to reach 1)

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

8,024,508 4,012,254 2,006,127 6,018,382 3,009,191 9,027,574 4,513,787 13,541,362 6,770,681 20,312,044 10,156,022 5,078,011 15,234,034 7,617,017 22,851,052 11,425,526 5,712,763 17,138,290 8,569,145 25,707,436 12,853,718 6,426,859 19,280,578 9,640,289 28,920,868 14,460,434 7,230,217 21,690,652 10,845,326 5,422,663 16,267,990 8,133,995 24,401,986 12,200,993 36,602,980 18,301,490 9,150,745 27,452,236 13,726,118 6,863,059 20,589,178 10,294,589 30,883,768 15,441,884 7,720,942 3,860,471 11,581,414 5,790,707 17,372,122 8,686,061 26,058,184 13,029,092 6,514,546 3,257,273 9,771,820 4,885,910 2,442,955 7,328,866 3,664,433 10,993,300

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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