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6,585,950

2 × 52 × 7 × 31 × 607
Abundant Even Composite

6,585,950 factors as 2 × 5^2 × 7 × 31 × 607. Its 48 positive divisors give a proper-divisor sum of 7,889,314, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 31 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,475,264
Proper Divisor Sum 7,889,314
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6585941 ← → #6585983

Radix Representation

Decimal 6585950
Binary 11001000111111001011110 (23 bits)
Octal 0o31077136
Hexadecimal 0x647E5E

Divisor Catalog (48)

1 2 5 7 10 14 25 31 35 50 62 70 155 175 217 310 350 434 607 775 1,085 1,214 1,550 2,170 3,035 4,249 5,425 6,070 8,498 10,850 15,175 18,817 21,245 30,350 37,634 42,490 94,085 106,225 131,719 188,170 212,450 263,438 470,425 658,595 940,850 1,317,190 3,292,975 6,585,950

Collatz Trajectory (116 steps to reach 1)

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

6,585,950 3,292,975 9,878,926 4,939,463 14,818,390 7,409,195 22,227,586 11,113,793 33,341,380 16,670,690 8,335,345 25,006,036 12,503,018 6,251,509 18,754,528 9,377,264 4,688,632 2,344,316 1,172,158 586,079 1,758,238 879,119 2,637,358 1,318,679 3,956,038 1,978,019 5,934,058 2,967,029 8,901,088 4,450,544 2,225,272 1,112,636 556,318 278,159 834,478 417,239 1,251,718 625,859 1,877,578 938,789 2,816,368 1,408,184 704,092 352,046 176,023 528,070 264,035 792,106 396,053 1,188,160 594,080 297,040 148,520 74,260 37,130 18,565 55,696 27,848 13,924 6,962

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