λ
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Atlas › Integer Profiles › Node 8,556,498

8,556,498

2 × 32 × 19 × 127 × 197
Abundant Even Composite

8,556,498 factors as 2 × 3^2 × 19 × 127 × 197. Its 48 positive divisors give a proper-divisor sum of 11,211,822, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 127 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,768,320
Proper Divisor Sum 11,211,822
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8556487 ← → #8556511

Radix Representation

Decimal 8556498
Binary 100000101000111111010010 (24 bits)
Octal 0o40507722
Hexadecimal 0x828FD2

Divisor Catalog (48)

1 2 3 6 9 18 19 38 57 114 127 171 197 254 342 381 394 591 762 1,143 1,182 1,773 2,286 2,413 3,546 3,743 4,826 7,239 7,486 11,229 14,478 21,717 22,458 25,019 33,687 43,434 50,038 67,374 75,057 150,114 225,171 450,342 475,361 950,722 1,426,083 2,852,166 4,278,249 8,556,498

Collatz Trajectory (124 steps to reach 1)

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

8,556,498 4,278,249 12,834,748 6,417,374 3,208,687 9,626,062 4,813,031 14,439,094 7,219,547 21,658,642 10,829,321 32,487,964 16,243,982 8,121,991 24,365,974 12,182,987 36,548,962 18,274,481 54,823,444 27,411,722 13,705,861 41,117,584 20,558,792 10,279,396 5,139,698 2,569,849 7,709,548 3,854,774 1,927,387 5,782,162 2,891,081 8,673,244 4,336,622 2,168,311 6,504,934 3,252,467 9,757,402 4,878,701 14,636,104 7,318,052 3,659,026 1,829,513 5,488,540 2,744,270 1,372,135 4,116,406 2,058,203 6,174,610 3,087,305 9,261,916 4,630,958 2,315,479 6,946,438 3,473,219 10,419,658 5,209,829 15,629,488 7,814,744 3,907,372 1,953,686

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