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Ratio Atlas
Atlas › Integer Profiles › Node 2,561,490
2,561,490
2 × 33 × 5 × 53 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 53 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,998,400
Proper Divisor Sum 4,436,910
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2561431 ← → #2561491

Radix Representation

Decimal 2561490
Binary 1001110001010111010010 (22 bits)
Octal 0o11612722
Hexadecimal 0x2715D2

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 179 265 270 318 358 477 530 537 795 895 954 1,074 1,431 1,590 1,611 1,790 2,385 2,685 2,862 3,222 4,770 4,833 5,370 7,155 8,055 9,487 9,666 14,310 16,110 18,974 24,165 28,461 47,435 48,330 56,922 85,383 94,870 142,305 170,766 256,149 284,610 426,915

Collatz Trajectory (99 steps to reach 1)

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

2,561,490 1,280,745 3,842,236 1,921,118 960,559 2,881,678 1,440,839 4,322,518 2,161,259 6,483,778 3,241,889 9,725,668 4,862,834 2,431,417 7,294,252 3,647,126 1,823,563 5,470,690 2,735,345 8,206,036 4,103,018 2,051,509 6,154,528 3,077,264 1,538,632 769,316 384,658 192,329 576,988 288,494 144,247 432,742 216,371 649,114 324,557 973,672 486,836 243,418 121,709 365,128 182,564 91,282 45,641 136,924 68,462 34,231 102,694 51,347 154,042 77,021 231,064 115,532 57,766 28,883 86,650 43,325 129,976 64,988 32,494 16,247

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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