λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,993,391
8,993,391
3 × 11 × 172 × 23 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 17^2 × 23 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,853,888
Proper Divisor Sum 5,860,497
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8993377 ← → #8993399

Radix Representation

Decimal 8993391
Binary 100010010011101001101111 (24 bits)
Octal 0o42235157
Hexadecimal 0x893A6F

Divisor Catalog (48)

1 3 11 17 23 33 41 51 69 123 187 253 289 391 451 561 697 759 867 943 1,173 1,353 2,091 2,829 3,179 4,301 6,647 7,667 9,537 10,373 11,849 12,903 16,031 19,941 23,001 31,119 35,547 48,093 73,117 130,339 176,341 219,351 272,527 391,017 529,023 817,581 2,997,797 8,993,391

Collatz Trajectory (111 steps to reach 1)

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

8,993,391 26,980,174 13,490,087 40,470,262 20,235,131 60,705,394 30,352,697 91,058,092 45,529,046 22,764,523 68,293,570 34,146,785 102,440,356 51,220,178 25,610,089 76,830,268 38,415,134 19,207,567 57,622,702 28,811,351 86,434,054 43,217,027 129,651,082 64,825,541 194,476,624 97,238,312 48,619,156 24,309,578 12,154,789 36,464,368 18,232,184 9,116,092 4,558,046 2,279,023 6,837,070 3,418,535 10,255,606 5,127,803 15,383,410 7,691,705 23,075,116 11,537,558 5,768,779 17,306,338 8,653,169 25,959,508 12,979,754 6,489,877 19,469,632 9,734,816 4,867,408 2,433,704 1,216,852 608,426 304,213 912,640 456,320 228,160 114,080 57,040

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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