568,384

2⁶ × 83 × 107

568,384 factors as 2^6 × 83 × 107. Its 28 positive divisors give a proper-divisor sum of 583,760, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^6 × 83 × 107

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 1,152,144

Proper Divisor Sum 583,760

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #568367 ← → #568387

Radix Representation

Decimal	568384
Binary	10001010110001000000 (20 bits)
Octal	0o2126100
Hexadecimal	0x8AC40

Divisor Catalog (28)

1 2 4 8 16 32 64 83 107 166 214 332 428 664 856 1,328 1,712 2,656 3,424 5,312 6,848 8,881 17,762 35,524 71,048 142,096 284,192 568,384

Collatz Trajectory (190 steps to reach 1)

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

568,384 284,192 142,096 71,048 35,524 17,762 8,881 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683

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