829,355

5 × 37 × 4483

829,355 factors as 5 × 37 × 4483. Its 8 positive divisors give a proper-divisor sum of 192,997, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 5 × 37 × 4483

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,022,352

Proper Divisor Sum 192,997

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #829349 ← → #829399

Radix Representation

Decimal	829355
Binary	11001010011110101011 (20 bits)
Octal	0o3123653
Hexadecimal	0xCA7AB

Divisor Catalog (8)

1 5 37 185 4,483 22,415 165,871 829,355

Collatz Trajectory (113 steps to reach 1)

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

829,355 2,488,066 1,244,033 3,732,100 1,866,050 933,025 2,799,076 1,399,538 699,769 2,099,308 1,049,654 524,827 1,574,482 787,241 2,361,724 1,180,862 590,431 1,771,294 885,647 2,656,942 1,328,471 3,985,414 1,992,707 5,978,122 2,989,061 8,967,184 4,483,592 2,241,796 1,120,898 560,449 1,681,348 840,674 420,337 1,261,012 630,506 315,253 945,760 472,880 236,440 118,220 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877

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