λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,591,984
52,591,984
24 × 23 × 241 × 593
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 23 × 241 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 106,948,512
Proper Divisor Sum 54,356,528
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #52591963 ← → #52591997

Radix Representation

Decimal 52591984
Binary 11001000100111110101110000 (26 bits)
Octal 0o310476560
Hexadecimal 0x3227D70

Divisor Catalog (40)

1 2 4 8 16 23 46 92 184 241 368 482 593 964 1,186 1,928 2,372 3,856 4,744 5,543 9,488 11,086 13,639 22,172 27,278 44,344 54,556 88,688 109,112 142,913 218,224 285,826 571,652 1,143,304 2,286,608 3,286,999 6,573,998 13,147,996 26,295,992 52,591,984

Collatz Trajectory (225 steps to reach 1)

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

52,591,984 26,295,992 13,147,996 6,573,998 3,286,999 9,860,998 4,930,499 14,791,498 7,395,749 22,187,248 11,093,624 5,546,812 2,773,406 1,386,703 4,160,110 2,080,055 6,240,166 3,120,083 9,360,250 4,680,125 14,040,376 7,020,188 3,510,094 1,755,047 5,265,142 2,632,571 7,897,714 3,948,857 11,846,572 5,923,286 2,961,643 8,884,930 4,442,465 13,327,396 6,663,698 3,331,849 9,995,548 4,997,774 2,498,887 7,496,662 3,748,331 11,244,994 5,622,497 16,867,492 8,433,746 4,216,873 12,650,620 6,325,310 3,162,655 9,487,966 4,743,983 14,231,950 7,115,975 21,347,926 10,673,963 32,021,890 16,010,945 48,032,836 24,016,418 12,008,209

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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