807,944

2³ × 23 × 4391

807,944 factors as 2^3 × 23 × 4391. Its 16 positive divisors give a proper-divisor sum of 773,176, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 4391

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,581,120

Proper Divisor Sum 773,176

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #807943 ← → #807949

Radix Representation

Decimal	807944
Binary	11000101010000001000 (20 bits)
Octal	0o3052010
Hexadecimal	0xC5408

Divisor Catalog (16)

1 2 4 8 23 46 92 184 4,391 8,782 17,564 35,128 100,993 201,986 403,972 807,944

Collatz Trajectory (113 steps to reach 1)

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

807,944 403,972 201,986 100,993 302,980 151,490 75,745 227,236 113,618 56,809 170,428 85,214 42,607 127,822 63,911 191,734 95,867 287,602 143,801 431,404 215,702 107,851 323,554 161,777 485,332 242,666 121,333 364,000 182,000 91,000 45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752

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