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5,083,750

2 × 54 × 72 × 83
Abundant Even Composite

5,083,750 factors as 2 × 5^4 × 7^2 × 83. Its 60 positive divisors give a proper-divisor sum of 6,134,534, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 5^4 × 7^2 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 11,218,284
Proper Divisor Sum 6,134,534
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5083733 ← → #5083753

Radix Representation

Decimal 5083750
Binary 10011011001001001100110 (23 bits)
Octal 0o23311146
Hexadecimal 0x4D9266

Divisor Catalog (60)

1 2 5 7 10 14 25 35 49 50 70 83 98 125 166 175 245 250 350 415 490 581 625 830 875 1,162 1,225 1,250 1,750 2,075 2,450 2,905 4,067 4,150 4,375 5,810 6,125 8,134 8,750 10,375 12,250 14,525 20,335 20,750 29,050 30,625 40,670 51,875 61,250 72,625 101,675 103,750 145,250 203,350 363,125 508,375 726,250 1,016,750 2,541,875 5,083,750

Collatz Trajectory (175 steps to reach 1)

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

5,083,750 2,541,875 7,625,626 3,812,813 11,438,440 5,719,220 2,859,610 1,429,805 4,289,416 2,144,708 1,072,354 536,177 1,608,532 804,266 402,133 1,206,400 603,200 301,600 150,800 75,400 37,700 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380

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