803,151

3² × 233 × 383

803,151 factors as 3^2 × 233 × 383. Its 12 positive divisors give a proper-divisor sum of 364,977, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3^2 × 233 × 383

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,168,128

Proper Divisor Sum 364,977

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #803141 ← → #803171

Radix Representation

Decimal	803151
Binary	11000100000101001111 (20 bits)
Octal	0o3040517
Hexadecimal	0xC414F

Divisor Catalog (12)

1 3 9 233 383 699 1,149 2,097 3,447 89,239 267,717 803,151

Collatz Trajectory (144 steps to reach 1)

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

803,151 2,409,454 1,204,727 3,614,182 1,807,091 5,421,274 2,710,637 8,131,912 4,065,956 2,032,978 1,016,489 3,049,468 1,524,734 762,367 2,287,102 1,143,551 3,430,654 1,715,327 5,145,982 2,572,991 7,718,974 3,859,487 11,578,462 5,789,231 17,367,694 8,683,847 26,051,542 13,025,771 39,077,314 19,538,657 58,615,972 29,307,986 14,653,993 43,961,980 21,980,990 10,990,495 32,971,486 16,485,743 49,457,230 24,728,615 74,185,846 37,092,923 111,278,770 55,639,385 166,918,156 83,459,078 41,729,539 125,188,618 62,594,309 187,782,928 93,891,464 46,945,732 23,472,866 11,736,433 35,209,300 17,604,650 8,802,325 26,406,976 13,203,488 6,601,744

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