λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,005,986
50,005,986
2 × 3 × 19 × 67 × 6547
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 19 × 67 × 6547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,863,360
Proper Divisor Sum 56,857,374
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #50005961 ← → #50005987

Radix Representation

Decimal 50005986
Binary 10111110110000011111100010 (26 bits)
Octal 0o276603742
Hexadecimal 0x2FB07E2

Divisor Catalog (32)

1 2 3 6 19 38 57 67 114 134 201 402 1,273 2,546 3,819 6,547 7,638 13,094 19,641 39,282 124,393 248,786 373,179 438,649 746,358 877,298 1,315,947 2,631,894 8,334,331 16,668,662 25,002,993 50,005,986

Collatz Trajectory (160 steps to reach 1)

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

50,005,986 25,002,993 75,008,980 37,504,490 18,752,245 56,256,736 28,128,368 14,064,184 7,032,092 3,516,046 1,758,023 5,274,070 2,637,035 7,911,106 3,955,553 11,866,660 5,933,330 2,966,665 8,899,996 4,449,998 2,224,999 6,674,998 3,337,499 10,012,498 5,006,249 15,018,748 7,509,374 3,754,687 11,264,062 5,632,031 16,896,094 8,448,047 25,344,142 12,672,071 38,016,214 19,008,107 57,024,322 28,512,161 85,536,484 42,768,242 21,384,121 64,152,364 32,076,182 16,038,091 48,114,274 24,057,137 72,171,412 36,085,706 18,042,853 54,128,560 27,064,280 13,532,140 6,766,070 3,383,035 10,149,106 5,074,553 15,223,660 7,611,830 3,805,915 11,417,746

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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