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Atlas › Integer Profiles › Node 8,992,566

8,992,566

2 × 33 × 11 × 15139
Abundant Even Composite

8,992,566 factors as 2 × 3^3 × 11 × 15139. Its 32 positive divisors give a proper-divisor sum of 12,809,034, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 15139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,801,600
Proper Divisor Sum 12,809,034
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8992561 ← → #8992583

Radix Representation

Decimal 8992566
Binary 100010010011011100110110 (24 bits)
Octal 0o42233466
Hexadecimal 0x893736

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 15,139 30,278 45,417 90,834 136,251 166,529 272,502 333,058 408,753 499,587 817,506 999,174 1,498,761 2,997,522 4,496,283 8,992,566

Collatz Trajectory (137 steps to reach 1)

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

8,992,566 4,496,283 13,488,850 6,744,425 20,233,276 10,116,638 5,058,319 15,174,958 7,587,479 22,762,438 11,381,219 34,143,658 17,071,829 51,215,488 25,607,744 12,803,872 6,401,936 3,200,968 1,600,484 800,242 400,121 1,200,364 600,182 300,091 900,274 450,137 1,350,412 675,206 337,603 1,012,810 506,405 1,519,216 759,608 379,804 189,902 94,951 284,854 142,427 427,282 213,641 640,924 320,462 160,231 480,694 240,347 721,042 360,521 1,081,564 540,782 270,391 811,174 405,587 1,216,762 608,381 1,825,144 912,572 456,286 228,143 684,430 342,215

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