λ
Ratio Atlas

9,945,488

24 × 7 × 88799
Abundant Even Composite

9,945,488 factors as 2^4 × 7 × 88799. Its 20 positive divisors give a proper-divisor sum of 12,076,912, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 88799
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,022,400
Proper Divisor Sum 12,076,912
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9945461 ← → #9945511

Radix Representation

Decimal 9945488
Binary 100101111100000110010000 (24 bits)
Octal 0o45740620
Hexadecimal 0x97C190

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 88,799 177,598 355,196 621,593 710,392 1,243,186 1,420,784 2,486,372 4,972,744 9,945,488

Collatz Trajectory (176 steps to reach 1)

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

9,945,488 4,972,744 2,486,372 1,243,186 621,593 1,864,780 932,390 466,195 1,398,586 699,293 2,097,880 1,048,940 524,470 262,235 786,706 393,353 1,180,060 590,030 295,015 885,046 442,523 1,327,570 663,785 1,991,356 995,678 497,839 1,493,518 746,759 2,240,278 1,120,139 3,360,418 1,680,209 5,040,628 2,520,314 1,260,157 3,780,472 1,890,236 945,118 472,559 1,417,678 708,839 2,126,518 1,063,259 3,189,778 1,594,889 4,784,668 2,392,334 1,196,167 3,588,502 1,794,251 5,382,754 2,691,377 8,074,132 4,037,066 2,018,533 6,055,600 3,027,800 1,513,900 756,950 378,475

More profiles

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