λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,876,478
5,876,478
2 × 32 × 137 × 2383
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 137 × 2383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,830,688
Proper Divisor Sum 6,954,210
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5876447 ← → #5876501

Radix Representation

Decimal 5876478
Binary 10110011010101011111110 (23 bits)
Octal 0o26325376
Hexadecimal 0x59AAFE

Divisor Catalog (24)

1 2 3 6 9 18 137 274 411 822 1,233 2,383 2,466 4,766 7,149 14,298 21,447 42,894 326,471 652,942 979,413 1,958,826 2,938,239 5,876,478

Collatz Trajectory (152 steps to reach 1)

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

5,876,478 2,938,239 8,814,718 4,407,359 13,222,078 6,611,039 19,833,118 9,916,559 29,749,678 14,874,839 44,624,518 22,312,259 66,936,778 33,468,389 100,405,168 50,202,584 25,101,292 12,550,646 6,275,323 18,825,970 9,412,985 28,238,956 14,119,478 7,059,739 21,179,218 10,589,609 31,768,828 15,884,414 7,942,207 23,826,622 11,913,311 35,739,934 17,869,967 53,609,902 26,804,951 80,414,854 40,207,427 120,622,282 60,311,141 180,933,424 90,466,712 45,233,356 22,616,678 11,308,339 33,925,018 16,962,509 50,887,528 25,443,764 12,721,882 6,360,941 19,082,824 9,541,412 4,770,706 2,385,353 7,156,060 3,578,030 1,789,015 5,367,046 2,683,523 8,050,570

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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