7,993,812

2² × 3 × 157 × 4243

7,993,812 factors as 2^2 × 3 × 157 × 4243. Its 24 positive divisors give a proper-divisor sum of 10,781,644, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 157 × 4243

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,775,456

Proper Divisor Sum 10,781,644

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7993801 ← → #7993823

Radix Representation

Decimal	7993812
Binary	11110011111100111010100 (23 bits)
Octal	0o36374724
Hexadecimal	0x79F9D4

Divisor Catalog (24)

1 2 3 4 6 12 157 314 471 628 942 1,884 4,243 8,486 12,729 16,972 25,458 50,916 666,151 1,332,302 1,998,453 2,664,604 3,996,906 7,993,812

Collatz Trajectory (186 steps to reach 1)

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

7,993,812 3,996,906 1,998,453 5,995,360 2,997,680 1,498,840 749,420 374,710 187,355 562,066 281,033 843,100 421,550 210,775 632,326 316,163 948,490 474,245 1,422,736 711,368 355,684 177,842 88,921 266,764 133,382 66,691 200,074 100,037 300,112 150,056 75,028 37,514 18,757 56,272 28,136 14,068 7,034 3,517 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235

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