595,647

3³ × 13 × 1697

595,647 factors as 3^3 × 13 × 1697. Its 16 positive divisors give a proper-divisor sum of 355,233, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 1697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 950,880

Proper Divisor Sum 355,233

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #595627 ← → #595687

Radix Representation

Decimal	595647
Binary	10010001011010111111 (20 bits)
Octal	0o2213277
Hexadecimal	0x916BF

Divisor Catalog (16)

1 3 9 13 27 39 117 351 1,697 5,091 15,273 22,061 45,819 66,183 198,549 595,647

Collatz Trajectory (97 steps to reach 1)

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

595,647 1,786,942 893,471 2,680,414 1,340,207 4,020,622 2,010,311 6,030,934 3,015,467 9,046,402 4,523,201 13,569,604 6,784,802 3,392,401 10,177,204 5,088,602 2,544,301 7,632,904 3,816,452 1,908,226 954,113 2,862,340 1,431,170 715,585 2,146,756 1,073,378 536,689 1,610,068 805,034 402,517 1,207,552 603,776 301,888 150,944 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 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

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