809,288

2³ × 101161

809,288 factors as 2^3 × 101161. Its 8 positive divisors give a proper-divisor sum of 708,142, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 101161

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,517,430

Proper Divisor Sum 708,142

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #809273 ← → #809297

Radix Representation

Decimal	809288
Binary	11000101100101001000 (20 bits)
Octal	0o3054510
Hexadecimal	0xC5948

Divisor Catalog (8)

1 2 4 8 101,161 202,322 404,644 809,288

Collatz Trajectory (198 steps to reach 1)

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

809,288 404,644 202,322 101,161 303,484 151,742 75,871 227,614 113,807 341,422 170,711 512,134 256,067 768,202 384,101 1,152,304 576,152 288,076 144,038 72,019 216,058 108,029 324,088 162,044 81,022 40,511 121,534 60,767 182,302 91,151 273,454 136,727 410,182 205,091 615,274 307,637 922,912 461,456 230,728 115,364 57,682 28,841 86,524 43,262 21,631 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801

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