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5,084,436

22 × 3 × 72 × 8647
Abundant Even Composite

5,084,436 factors as 2^2 × 3 × 7^2 × 8647. Its 36 positive divisors give a proper-divisor sum of 8,717,772, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 8647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,802,208
Proper Divisor Sum 8,717,772
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5084423 ← → #5084437

Radix Representation

Decimal 5084436
Binary 10011011001010100010100 (23 bits)
Octal 0o23312424
Hexadecimal 0x4D9514

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 8,647 17,294 25,941 34,588 51,882 60,529 103,764 121,058 181,587 242,116 363,174 423,703 726,348 847,406 1,271,109 1,694,812 2,542,218 5,084,436

Collatz Trajectory (126 steps to reach 1)

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

5,084,436 2,542,218 1,271,109 3,813,328 1,906,664 953,332 476,666 238,333 715,000 357,500 178,750 89,375 268,126 134,063 402,190 201,095 603,286 301,643 904,930 452,465 1,357,396 678,698 339,349 1,018,048 509,024 254,512 127,256 63,628 31,814 15,907 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386

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