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8,095,750

2 × 53 × 13 × 47 × 53
Abundant Even Composite

8,095,750 factors as 2 × 5^3 × 13 × 47 × 53. Its 64 positive divisors give a proper-divisor sum of 8,887,034, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 13 × 47 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,982,784
Proper Divisor Sum 8,887,034
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8095733 ← → #8095783

Radix Representation

Decimal 8095750
Binary 11110111000100000000110 (23 bits)
Octal 0o36704006
Hexadecimal 0x7B8806

Divisor Catalog (60 of 64)

1 2 5 10 13 25 26 47 50 53 65 94 106 125 130 235 250 265 325 470 530 611 650 689 1,175 1,222 1,325 1,378 1,625 2,350 2,491 2,650 3,055 3,250 3,445 4,982 5,875 6,110 6,625 6,890 11,750 12,455 13,250 15,275 17,225 24,910 30,550 32,383 34,450 62,275 64,766 76,375 86,125 124,550 152,750 161,915 172,250 311,375 323,830 622,750

Collatz Trajectory (199 steps to reach 1)

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

8,095,750 4,047,875 12,143,626 6,071,813 18,215,440 9,107,720 4,553,860 2,276,930 1,138,465 3,415,396 1,707,698 853,849 2,561,548 1,280,774 640,387 1,921,162 960,581 2,881,744 1,440,872 720,436 360,218 180,109 540,328 270,164 135,082 67,541 202,624 101,312 50,656 25,328 12,664 6,332 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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