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6,484,450

2 × 52 × 7 × 97 × 191
Abundant Even Composite

6,484,450 factors as 2 × 5^2 × 7 × 97 × 191. Its 48 positive divisors give a proper-divisor sum of 7,514,654, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 97 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,999,104
Proper Divisor Sum 7,514,654
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6484447 ← → #6484477

Radix Representation

Decimal 6484450
Binary 11000101111000111100010 (23 bits)
Octal 0o30570742
Hexadecimal 0x62F1E2

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 97 175 191 194 350 382 485 679 955 970 1,337 1,358 1,910 2,425 2,674 3,395 4,775 4,850 6,685 6,790 9,550 13,370 16,975 18,527 33,425 33,950 37,054 66,850 92,635 129,689 185,270 259,378 463,175 648,445 926,350 1,296,890 3,242,225 6,484,450

Collatz Trajectory (147 steps to reach 1)

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

6,484,450 3,242,225 9,726,676 4,863,338 2,431,669 7,295,008 3,647,504 1,823,752 911,876 455,938 227,969 683,908 341,954 170,977 512,932 256,466 128,233 384,700 192,350 96,175 288,526 144,263 432,790 216,395 649,186 324,593 973,780 486,890 243,445 730,336 365,168 182,584 91,292 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134

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