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767,196

22 × 32 × 101 × 211
Abundant Even Composite

767,196 factors as 2^2 × 3^2 × 101 × 211. Its 36 positive divisors give a proper-divisor sum of 1,200,588, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 101 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,967,784
Proper Divisor Sum 1,200,588
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #767167 ← → #767203

Radix Representation

Decimal 767196
Binary 10111011010011011100 (20 bits)
Octal 0o2732334
Hexadecimal 0xBB4DC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 101 202 211 303 404 422 606 633 844 909 1,212 1,266 1,818 1,899 2,532 3,636 3,798 7,596 21,311 42,622 63,933 85,244 127,866 191,799 255,732 383,598 767,196

Collatz Trajectory (100 steps to reach 1)

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

767,196 383,598 191,799 575,398 287,699 863,098 431,549 1,294,648 647,324 323,662 161,831 485,494 242,747 728,242 364,121 1,092,364 546,182 273,091 819,274 409,637 1,228,912 614,456 307,228 153,614 76,807 230,422 115,211 345,634 172,817 518,452 259,226 129,613 388,840 194,420 97,210 48,605 145,816 72,908 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812

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