807,971

331 × 2441

807,971 factors as 331 × 2441. Its 4 positive divisors give a proper-divisor sum of 2,773, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 331 × 2441

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 810,744

Proper Divisor Sum 2,773

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #807949 ← → #807973

Radix Representation

Decimal	807971
Binary	11000101010000100011 (20 bits)
Octal	0o3052043
Hexadecimal	0xC5423

Divisor Catalog (4)

1 331 2,441 807,971

Collatz Trajectory (100 steps to reach 1)

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

807,971 2,423,914 1,211,957 3,635,872 1,817,936 908,968 454,484 227,242 113,621 340,864 170,432 85,216 42,608 21,304 10,652 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862

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