λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,561,964
2,561,964
22 × 3 × 31 × 71 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 71 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,322,176
Proper Divisor Sum 3,760,212
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2561963 ← → #2561969

Radix Representation

Decimal 2561964
Binary 1001110001011110101100 (22 bits)
Octal 0o11613654
Hexadecimal 0x2717AC

Divisor Catalog (48)

1 2 3 4 6 12 31 62 71 93 97 124 142 186 194 213 284 291 372 388 426 582 852 1,164 2,201 3,007 4,402 6,014 6,603 6,887 8,804 9,021 12,028 13,206 13,774 18,042 20,661 26,412 27,548 36,084 41,322 82,644 213,497 426,994 640,491 853,988 1,280,982 2,561,964

Collatz Trajectory (192 steps to reach 1)

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

2,561,964 1,280,982 640,491 1,921,474 960,737 2,882,212 1,441,106 720,553 2,161,660 1,080,830 540,415 1,621,246 810,623 2,431,870 1,215,935 3,647,806 1,823,903 5,471,710 2,735,855 8,207,566 4,103,783 12,311,350 6,155,675 18,467,026 9,233,513 27,700,540 13,850,270 6,925,135 20,775,406 10,387,703 31,163,110 15,581,555 46,744,666 23,372,333 70,117,000 35,058,500 17,529,250 8,764,625 26,293,876 13,146,938 6,573,469 19,720,408 9,860,204 4,930,102 2,465,051 7,395,154 3,697,577 11,092,732 5,546,366 2,773,183 8,319,550 4,159,775 12,479,326 6,239,663 18,718,990 9,359,495 28,078,486 14,039,243 42,117,730 21,058,865

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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