8,097,597

3³ × 443 × 677

8,097,597 factors as 3^3 × 443 × 677. Its 16 positive divisors give a proper-divisor sum of 3,943,683, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3^3 × 443 × 677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,041,280

Proper Divisor Sum 3,943,683

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8097581 ← → #8097599

Radix Representation

Decimal	8097597
Binary	11110111000111100111101 (23 bits)
Octal	0o36707475
Hexadecimal	0x7B8F3D

Divisor Catalog (16)

1 3 9 27 443 677 1,329 2,031 3,987 6,093 11,961 18,279 299,911 899,733 2,699,199 8,097,597

Collatz Trajectory (137 steps to reach 1)

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

8,097,597 24,292,792 12,146,396 6,073,198 3,036,599 9,109,798 4,554,899 13,664,698 6,832,349 20,497,048 10,248,524 5,124,262 2,562,131 7,686,394 3,843,197 11,529,592 5,764,796 2,882,398 1,441,199 4,323,598 2,161,799 6,485,398 3,242,699 9,728,098 4,864,049 14,592,148 7,296,074 3,648,037 10,944,112 5,472,056 2,736,028 1,368,014 684,007 2,052,022 1,026,011 3,078,034 1,539,017 4,617,052 2,308,526 1,154,263 3,462,790 1,731,395 5,194,186 2,597,093 7,791,280 3,895,640 1,947,820 973,910 486,955 1,460,866 730,433 2,191,300 1,095,650 547,825 1,643,476 821,738 410,869 1,232,608 616,304 308,152

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