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6,777,972

22 × 33 × 97 × 647
Abundant Even Composite

6,777,972 factors as 2^2 × 3^3 × 97 × 647. Its 48 positive divisors give a proper-divisor sum of 11,003,148, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 97 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,781,120
Proper Divisor Sum 11,003,148
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6777971 ← → #6777989

Radix Representation

Decimal 6777972
Binary 11001110110110001110100 (23 bits)
Octal 0o31666164
Hexadecimal 0x676C74

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 647 873 1,164 1,294 1,746 1,941 2,588 2,619 3,492 3,882 5,238 5,823 7,764 10,476 11,646 17,469 23,292 34,938 62,759 69,876 125,518 188,277 251,036 376,554 564,831 753,108 1,129,662 1,694,493 2,259,324 3,388,986 6,777,972

Collatz Trajectory (178 steps to reach 1)

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

6,777,972 3,388,986 1,694,493 5,083,480 2,541,740 1,270,870 635,435 1,906,306 953,153 2,859,460 1,429,730 714,865 2,144,596 1,072,298 536,149 1,608,448 804,224 402,112 201,056 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172

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