767,948

2² × 113 × 1699

767,948 factors as 2^2 × 113 × 1699. Its 12 positive divisors give a proper-divisor sum of 588,652, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 113 × 1699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,356,600

Proper Divisor Sum 588,652

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #767909 ← → #767951

Radix Representation

Decimal	767948
Binary	10111011011111001100 (20 bits)
Octal	0o2733714
Hexadecimal	0xBB7CC

Divisor Catalog (12)

1 2 4 113 226 452 1,699 3,398 6,796 191,987 383,974 767,948

Collatz Trajectory (193 steps to reach 1)

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

767,948 383,974 191,987 575,962 287,981 863,944 431,972 215,986 107,993 323,980 161,990 80,995 242,986 121,493 364,480 182,240 91,120 45,560 22,780 11,390 5,695 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876

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