797,346

2 × 3² × 11 × 4027

797,346 factors as 2 × 3^2 × 11 × 4027. Its 24 positive divisors give a proper-divisor sum of 1,087,758, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 4027

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,885,104

Proper Divisor Sum 1,087,758

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #797333 ← → #797353

Radix Representation

Decimal	797346
Binary	11000010101010100010 (20 bits)
Octal	0o3025242
Hexadecimal	0xC2AA2

Divisor Catalog (24)

Collatz Trajectory (268 steps to reach 1)

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

797,346 398,673 1,196,020 598,010 299,005 897,016 448,508 224,254 112,127 336,382 168,191 504,574 252,287 756,862 378,431 1,135,294 567,647 1,702,942 851,471 2,554,414 1,277,207 3,831,622 1,915,811 5,747,434 2,873,717 8,621,152 4,310,576 2,155,288 1,077,644 538,822 269,411 808,234 404,117 1,212,352 606,176 303,088 151,544 75,772 37,886 18,943 56,830 28,415 85,246 42,623 127,870 63,935 191,806 95,903 287,710 143,855 431,566 215,783 647,350 323,675 971,026 485,513 1,456,540 728,270 364,135 1,092,406

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