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Atlas › Integer Profiles › Node 8,092,744

8,092,744

23 × 11 × 41 × 2243
Abundant Even Composite

8,092,744 factors as 2^3 × 11 × 41 × 2243. Its 32 positive divisors give a proper-divisor sum of 8,871,896, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 41 × 2243
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,964,640
Proper Divisor Sum 8,871,896
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8092741 ← → #8092759

Radix Representation

Decimal 8092744
Binary 11110110111110001001000 (23 bits)
Octal 0o36676110
Hexadecimal 0x7B7C48

Divisor Catalog (32)

1 2 4 8 11 22 41 44 82 88 164 328 451 902 1,804 2,243 3,608 4,486 8,972 17,944 24,673 49,346 91,963 98,692 183,926 197,384 367,852 735,704 1,011,593 2,023,186 4,046,372 8,092,744

Collatz Trajectory (248 steps to reach 1)

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

8,092,744 4,046,372 2,023,186 1,011,593 3,034,780 1,517,390 758,695 2,276,086 1,138,043 3,414,130 1,707,065 5,121,196 2,560,598 1,280,299 3,840,898 1,920,449 5,761,348 2,880,674 1,440,337 4,321,012 2,160,506 1,080,253 3,240,760 1,620,380 810,190 405,095 1,215,286 607,643 1,822,930 911,465 2,734,396 1,367,198 683,599 2,050,798 1,025,399 3,076,198 1,538,099 4,614,298 2,307,149 6,921,448 3,460,724 1,730,362 865,181 2,595,544 1,297,772 648,886 324,443 973,330 486,665 1,459,996 729,998 364,999 1,094,998 547,499 1,642,498 821,249 2,463,748 1,231,874 615,937 1,847,812

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