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Ratio Atlas
Atlas › Integer Profiles › Node 57,769,816
57,769,816
23 × 13 × 103 × 5393
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 103 × 5393
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 117,804,960
Proper Divisor Sum 60,035,144
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #57769807 ← → #57769819

Radix Representation

Decimal 57769816
Binary 11011100010111111101011000 (26 bits)
Octal 0o334277530
Hexadecimal 0x3717F58

Divisor Catalog (32)

1 2 4 8 13 26 52 103 104 206 412 824 1,339 2,678 5,356 5,393 10,712 10,786 21,572 43,144 70,109 140,218 280,436 555,479 560,872 1,110,958 2,221,916 4,443,832 7,221,227 14,442,454 28,884,908 57,769,816

Collatz Trajectory (238 steps to reach 1)

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

57,769,816 28,884,908 14,442,454 7,221,227 21,663,682 10,831,841 32,495,524 16,247,762 8,123,881 24,371,644 12,185,822 6,092,911 18,278,734 9,139,367 27,418,102 13,709,051 41,127,154 20,563,577 61,690,732 30,845,366 15,422,683 46,268,050 23,134,025 69,402,076 34,701,038 17,350,519 52,051,558 26,025,779 78,077,338 39,038,669 117,116,008 58,558,004 29,279,002 14,639,501 43,918,504 21,959,252 10,979,626 5,489,813 16,469,440 8,234,720 4,117,360 2,058,680 1,029,340 514,670 257,335 772,006 386,003 1,158,010 579,005 1,737,016 868,508 434,254 217,127 651,382 325,691 977,074 488,537 1,465,612 732,806 366,403

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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