828,337

53 × 15629

828,337 factors as 53 × 15629. Its 4 positive divisors give a proper-divisor sum of 15,683, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 53 × 15629

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 844,020

Proper Divisor Sum 15,683

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #828277 ← → #828349

Radix Representation

Decimal	828337
Binary	11001010001110110001 (20 bits)
Octal	0o3121661
Hexadecimal	0xCA3B1

Divisor Catalog (4)

1 53 15,629 828,337

Collatz Trajectory (175 steps to reach 1)

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

828,337 2,485,012 1,242,506 621,253 1,863,760 931,880 465,940 232,970 116,485 349,456 174,728 87,364 43,682 21,841 65,524 32,762 16,381 49,144 24,572 12,286 6,143 18,430 9,215 27,646 13,823 41,470 20,735 62,206 31,103 93,310 46,655 139,966 69,983 209,950 104,975 314,926 157,463 472,390 236,195 708,586 354,293 1,062,880 531,440 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175

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