λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,993,901
8,993,901
3 × 72 × 17 × 59 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 59 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,266,880
Proper Divisor Sum 6,272,979
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8993891 ← → #8993903

Radix Representation

Decimal 8993901
Binary 100010010011110001101101 (24 bits)
Octal 0o42236155
Hexadecimal 0x893C6D

Divisor Catalog (48)

1 3 7 17 21 49 51 59 61 119 147 177 183 357 413 427 833 1,003 1,037 1,239 1,281 2,499 2,891 2,989 3,009 3,111 3,599 7,021 7,259 8,673 8,967 10,797 21,063 21,777 25,193 49,147 50,813 61,183 75,579 147,441 152,439 176,351 183,549 428,281 529,053 1,284,843 2,997,967 8,993,901

Collatz Trajectory (212 steps to reach 1)

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

8,993,901 26,981,704 13,490,852 6,745,426 3,372,713 10,118,140 5,059,070 2,529,535 7,588,606 3,794,303 11,382,910 5,691,455 17,074,366 8,537,183 25,611,550 12,805,775 38,417,326 19,208,663 57,625,990 28,812,995 86,438,986 43,219,493 129,658,480 64,829,240 32,414,620 16,207,310 8,103,655 24,310,966 12,155,483 36,466,450 18,233,225 54,699,676 27,349,838 13,674,919 41,024,758 20,512,379 61,537,138 30,768,569 92,305,708 46,152,854 23,076,427 69,229,282 34,614,641 103,843,924 51,921,962 25,960,981 77,882,944 38,941,472 19,470,736 9,735,368 4,867,684 2,433,842 1,216,921 3,650,764 1,825,382 912,691 2,738,074 1,369,037 4,107,112 2,053,556

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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