828,992

2⁶ × 12953

828,992 factors as 2^6 × 12953. Its 14 positive divisors give a proper-divisor sum of 816,166, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^6 × 12953

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 1,645,158

Proper Divisor Sum 816,166

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #828977 ← → #829001

Radix Representation

Decimal	828992
Binary	11001010011001000000 (20 bits)
Octal	0o3123100
Hexadecimal	0xCA640

Divisor Catalog (14)

1 2 4 8 16 32 64 12,953 25,906 51,812 103,624 207,248 414,496 828,992

Collatz Trajectory (175 steps to reach 1)

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

828,992 414,496 207,248 103,624 51,812 25,906 12,953 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

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