565,856

2⁵ × 17683

565,856 factors as 2^5 × 17683. Its 12 positive divisors give a proper-divisor sum of 548,236, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^5 × 17683

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,114,092

Proper Divisor Sum 548,236

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #565849 ← → #565867

Radix Representation

Decimal	565856
Binary	10001010001001100000 (20 bits)
Octal	0o2121140
Hexadecimal	0x8A260

Divisor Catalog (12)

1 2 4 8 16 32 17,683 35,366 70,732 141,464 282,928 565,856

Collatz Trajectory (146 steps to reach 1)

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

565,856 282,928 141,464 70,732 35,366 17,683 53,050 26,525 79,576 39,788 19,894 9,947 29,842 14,921 44,764 22,382 11,191 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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