893,463

3 × 431 × 691

893,463 factors as 3 × 431 × 691. Its 8 positive divisors give a proper-divisor sum of 302,313, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3 × 431 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,195,776

Proper Divisor Sum 302,313

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #893449 ← → #893479

Radix Representation

Decimal	893463
Binary	11011010001000010111 (20 bits)
Octal	0o3321027
Hexadecimal	0xDA217

Divisor Catalog (8)

1 3 431 691 1,293 2,073 297,821 893,463

Collatz Trajectory (95 steps to reach 1)

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

893,463 2,680,390 1,340,195 4,020,586 2,010,293 6,030,880 3,015,440 1,507,720 753,860 376,930 188,465 565,396 282,698 141,349 424,048 212,024 106,012 53,006 26,503 79,510 39,755 119,266 59,633 178,900 89,450 44,725 134,176 67,088 33,544 16,772 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674

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