796,332

2² × 3 × 66361

796,332 factors as 2^2 × 3 × 66361. Its 12 positive divisors give a proper-divisor sum of 1,061,804, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 66361

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,858,136

Proper Divisor Sum 1,061,804

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #796307 ← → #796337

Radix Representation

Decimal	796332
Binary	11000010011010101100 (20 bits)
Octal	0o3023254
Hexadecimal	0xC26AC

Divisor Catalog (12)

1 2 3 4 6 12 66,361 132,722 199,083 265,444 398,166 796,332

Collatz Trajectory (193 steps to reach 1)

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

796,332 398,166 199,083 597,250 298,625 895,876 447,938 223,969 671,908 335,954 167,977 503,932 251,966 125,983 377,950 188,975 566,926 283,463 850,390 425,195 1,275,586 637,793 1,913,380 956,690 478,345 1,435,036 717,518 358,759 1,076,278 538,139 1,614,418 807,209 2,421,628 1,210,814 605,407 1,816,222 908,111 2,724,334 1,362,167 4,086,502 2,043,251 6,129,754 3,064,877 9,194,632 4,597,316 2,298,658 1,149,329 3,447,988 1,723,994 861,997 2,585,992 1,292,996 646,498 323,249 969,748 484,874 242,437 727,312 363,656 181,828

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