797,724

2² × 3² × 22159

797,724 factors as 2^2 × 3^2 × 22159. Its 18 positive divisors give a proper-divisor sum of 1,218,836, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 22159

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,016,560

Proper Divisor Sum 1,218,836

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #797711 ← → #797729

Radix Representation

Decimal	797724
Binary	11000010110000011100 (20 bits)
Octal	0o3026034
Hexadecimal	0xC2C1C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 22,159 44,318 66,477 88,636 132,954 199,431 265,908 398,862 797,724

Collatz Trajectory (131 steps to reach 1)

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

797,724 398,862 199,431 598,294 299,147 897,442 448,721 1,346,164 673,082 336,541 1,009,624 504,812 252,406 126,203 378,610 189,305 567,916 283,958 141,979 425,938 212,969 638,908 319,454 159,727 479,182 239,591 718,774 359,387 1,078,162 539,081 1,617,244 808,622 404,311 1,212,934 606,467 1,819,402 909,701 2,729,104 1,364,552 682,276 341,138 170,569 511,708 255,854 127,927 383,782 191,891 575,674 287,837 863,512 431,756 215,878 107,939 323,818 161,909 485,728 242,864 121,432 60,716 30,358

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