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Atlas › Integer Profiles › Node 8,917,254

8,917,254

2 × 32 × 41 × 43 × 281
Abundant Even Composite

8,917,254 factors as 2 × 3^2 × 41 × 43 × 281. Its 48 positive divisors give a proper-divisor sum of 11,407,050, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 43 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,324,304
Proper Divisor Sum 11,407,050
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8917253 ← → #8917309

Radix Representation

Decimal 8917254
Binary 100010000001000100000110 (24 bits)
Octal 0o42010406
Hexadecimal 0x881106

Divisor Catalog (48)

1 2 3 6 9 18 41 43 82 86 123 129 246 258 281 369 387 562 738 774 843 1,686 1,763 2,529 3,526 5,058 5,289 10,578 11,521 12,083 15,867 23,042 24,166 31,734 34,563 36,249 69,126 72,498 103,689 108,747 207,378 217,494 495,403 990,806 1,486,209 2,972,418 4,458,627 8,917,254

Collatz Trajectory (212 steps to reach 1)

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

8,917,254 4,458,627 13,375,882 6,687,941 20,063,824 10,031,912 5,015,956 2,507,978 1,253,989 3,761,968 1,880,984 940,492 470,246 235,123 705,370 352,685 1,058,056 529,028 264,514 132,257 396,772 198,386 99,193 297,580 148,790 74,395 223,186 111,593 334,780 167,390 83,695 251,086 125,543 376,630 188,315 564,946 282,473 847,420 423,710 211,855 635,566 317,783 953,350 476,675 1,430,026 715,013 2,145,040 1,072,520 536,260 268,130 134,065 402,196 201,098 100,549 301,648 150,824 75,412 37,706 18,853 56,560

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