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Ratio Atlas
Atlas › Integer Profiles › Node 2,561,463
2,561,463
35 × 83 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 83 × 127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,913,728
Proper Divisor Sum 1,352,265
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2561431 ← → #2561491

Radix Representation

Decimal 2561463
Binary 1001110001010110110111 (22 bits)
Octal 0o11612667
Hexadecimal 0x2715B7

Divisor Catalog (24)

1 3 9 27 81 83 127 243 249 381 747 1,143 2,241 3,429 6,723 10,287 10,541 20,169 30,861 31,623 94,869 284,607 853,821 2,561,463

Collatz Trajectory (205 steps to reach 1)

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

2,561,463 7,684,390 3,842,195 11,526,586 5,763,293 17,289,880 8,644,940 4,322,470 2,161,235 6,483,706 3,241,853 9,725,560 4,862,780 2,431,390 1,215,695 3,647,086 1,823,543 5,470,630 2,735,315 8,205,946 4,102,973 12,308,920 6,154,460 3,077,230 1,538,615 4,615,846 2,307,923 6,923,770 3,461,885 10,385,656 5,192,828 2,596,414 1,298,207 3,894,622 1,947,311 5,841,934 2,920,967 8,762,902 4,381,451 13,144,354 6,572,177 19,716,532 9,858,266 4,929,133 14,787,400 7,393,700 3,696,850 1,848,425 5,545,276 2,772,638 1,386,319 4,158,958 2,079,479 6,238,438 3,119,219 9,357,658 4,678,829 14,036,488 7,018,244 3,509,122

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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