767,331

3² × 85259

767,331 factors as 3^2 × 85259. Its 6 positive divisors give a proper-divisor sum of 341,049, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^2 × 85259

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,108,380

Proper Divisor Sum 341,049

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #767323 ← → #767339

Radix Representation

Decimal	767331
Binary	10111011010101100011 (20 bits)
Octal	0o2732543
Hexadecimal	0xBB563

Divisor Catalog (6)

1 3 9 85,259 255,777 767,331

Collatz Trajectory (87 steps to reach 1)

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

767,331 2,301,994 1,150,997 3,452,992 1,726,496 863,248 431,624 215,812 107,906 53,953 161,860 80,930 40,465 121,396 60,698 30,349 91,048 45,524 22,762 11,381 34,144 17,072 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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