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8,375,010

2 × 3 × 5 × 7 × 19 × 2099
Abundant Even Composite

8,375,010 factors as 2 × 3 × 5 × 7 × 19 × 2099. Its 64 positive divisors give a proper-divisor sum of 15,816,990, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 19 × 2099
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,192,000
Proper Divisor Sum 15,816,990
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8375009 ← → #8375023

Radix Representation

Decimal 8375010
Binary 11111111100101011100010 (23 bits)
Octal 0o37745342
Hexadecimal 0x7FCAE2

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1,330 1,995 2,099 3,990 4,198 6,297 10,495 12,594 14,693 20,990 29,386 31,485 39,881 44,079 62,970 73,465 79,762 88,158 119,643 146,930 199,405 220,395 239,286 279,167 398,810 440,790 558,334 598,215 837,501 1,196,430 1,395,835

Collatz Trajectory (137 steps to reach 1)

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

8,375,010 4,187,505 12,562,516 6,281,258 3,140,629 9,421,888 4,710,944 2,355,472 1,177,736 588,868 294,434 147,217 441,652 220,826 110,413 331,240 165,620 82,810 41,405 124,216 62,108 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336 141,668 70,834 35,417 106,252 53,126

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