801,397

17² × 47 × 59

801,397 factors as 17^2 × 47 × 59. Its 12 positive divisors give a proper-divisor sum of 82,763, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 17^2 × 47 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 884,160

Proper Divisor Sum 82,763

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #801379 ← → #801403

Radix Representation

Decimal	801397
Binary	11000011101001110101 (20 bits)
Octal	0o3035165
Hexadecimal	0xC3A75

Divisor Catalog (12)

1 17 47 59 289 799 1,003 2,773 13,583 17,051 47,141 801,397

Collatz Trajectory (69 steps to reach 1)

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

801,397 2,404,192 1,202,096 601,048 300,524 150,262 75,131 225,394 112,697 338,092 169,046 84,523 253,570 126,785 380,356 190,178 95,089 285,268 142,634 71,317 213,952 106,976 53,488 26,744 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26

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