λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,005,116
50,005,116
22 × 32 × 7 × 61 × 3253
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 61 × 3253
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 146,872,544
Proper Divisor Sum 96,867,428
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #50005091 ← → #50005121

Radix Representation

Decimal 50005116
Binary 10111110110000010001111100 (26 bits)
Octal 0o276602174
Hexadecimal 0x2FB047C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1,098 1,281 1,708 2,196 2,562 3,253 3,843 5,124 6,506 7,686 9,759 13,012 15,372 19,518 22,771 29,277 39,036 45,542 58,554 68,313 91,084 117,108 136,626 198,433 204,939 273,252 396,866 409,878 595,299 793,732 819,756 1,190,598 1,389,031

Collatz Trajectory (137 steps to reach 1)

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

50,005,116 25,002,558 12,501,279 37,503,838 18,751,919 56,255,758 28,127,879 84,383,638 42,191,819 126,575,458 63,287,729 189,863,188 94,931,594 47,465,797 142,397,392 71,198,696 35,599,348 17,799,674 8,899,837 26,699,512 13,349,756 6,674,878 3,337,439 10,012,318 5,006,159 15,018,478 7,509,239 22,527,718 11,263,859 33,791,578 16,895,789 50,687,368 25,343,684 12,671,842 6,335,921 19,007,764 9,503,882 4,751,941 14,255,824 7,127,912 3,563,956 1,781,978 890,989 2,672,968 1,336,484 668,242 334,121 1,002,364 501,182 250,591 751,774 375,887 1,127,662 563,831 1,691,494 845,747 2,537,242 1,268,621 3,805,864 1,902,932

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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