797,604

2² × 3 × 66467

Starting at 797,604, the Collatz iteration reaches 1 after 237 steps. The first transition is 398802; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 66467

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,861,104

Proper Divisor Sum 1,063,500

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #797593 ← → #797611

Radix Representation

Decimal	797604
Binary	11000010101110100100 (20 bits)
Octal	0o3025644
Hexadecimal	0xC2BA4

Divisor Catalog (12)

1 2 3 4 6 12 66,467 132,934 199,401 265,868 398,802 797,604

Collatz Trajectory (237 steps to reach 1)

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

797,604 398,802 199,401 598,204 299,102 149,551 448,654 224,327 672,982 336,491 1,009,474 504,737 1,514,212 757,106 378,553 1,135,660 567,830 283,915 851,746 425,873 1,277,620 638,810 319,405 958,216 479,108 239,554 119,777 359,332 179,666 89,833 269,500 134,750 67,375 202,126 101,063 303,190 151,595 454,786 227,393 682,180 341,090 170,545 511,636 255,818 127,909 383,728 191,864 95,932 47,966 23,983 71,950 35,975 107,926 53,963 161,890 80,945 242,836 121,418 60,709 182,128

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