794,469

3 × 13² × 1567

794,469 factors as 3 × 13^2 × 1567. Its 12 positive divisors give a proper-divisor sum of 353,307, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 1567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,147,776

Proper Divisor Sum 353,307

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #794449 ← → #794471

Radix Representation

Decimal	794469
Binary	11000001111101100101 (20 bits)
Octal	0o3017545
Hexadecimal	0xC1F65

Divisor Catalog (12)

1 3 13 39 169 507 1,567 4,701 20,371 61,113 264,823 794,469

Collatz Trajectory (162 steps to reach 1)

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

794,469 2,383,408 1,191,704 595,852 297,926 148,963 446,890 223,445 670,336 335,168 167,584 83,792 41,896 20,948 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142

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