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Ratio Atlas
Atlas › Integer Profiles › Node 5,777,916
5,777,916
22 × 3 × 113 × 4261
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 113 × 4261
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,604,304
Proper Divisor Sum 7,826,388
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5777911 ← → #5777917

Radix Representation

Decimal 5777916
Binary 10110000010100111111100 (23 bits)
Octal 0o26024774
Hexadecimal 0x5829FC

Divisor Catalog (24)

1 2 3 4 6 12 113 226 339 452 678 1,356 4,261 8,522 12,783 17,044 25,566 51,132 481,493 962,986 1,444,479 1,925,972 2,888,958 5,777,916

Collatz Trajectory (258 steps to reach 1)

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

5,777,916 2,888,958 1,444,479 4,333,438 2,166,719 6,500,158 3,250,079 9,750,238 4,875,119 14,625,358 7,312,679 21,938,038 10,969,019 32,907,058 16,453,529 49,360,588 24,680,294 12,340,147 37,020,442 18,510,221 55,530,664 27,765,332 13,882,666 6,941,333 20,824,000 10,412,000 5,206,000 2,603,000 1,301,500 650,750 325,375 976,126 488,063 1,464,190 732,095 2,196,286 1,098,143 3,294,430 1,647,215 4,941,646 2,470,823 7,412,470 3,706,235 11,118,706 5,559,353 16,678,060 8,339,030 4,169,515 12,508,546 6,254,273 18,762,820 9,381,410 4,690,705 14,072,116 7,036,058 3,518,029 10,554,088 5,277,044 2,638,522 1,319,261

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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