563,145

3 × 5 × 11 × 3413

563,145 factors as 3 × 5 × 11 × 3413. Its 16 positive divisors give a proper-divisor sum of 420,087, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 3413

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 983,232

Proper Divisor Sum 420,087

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #563131 ← → #563149

Radix Representation

Decimal	563145
Binary	10001001011111001001 (20 bits)
Octal	0o2113711
Hexadecimal	0x897C9

Divisor Catalog (16)

1 3 5 11 15 33 55 165 3,413 10,239 17,065 37,543 51,195 112,629 187,715 563,145

Collatz Trajectory (133 steps to reach 1)

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

563,145 1,689,436 844,718 422,359 1,267,078 633,539 1,900,618 950,309 2,850,928 1,425,464 712,732 356,366 178,183 534,550 267,275 801,826 400,913 1,202,740 601,370 300,685 902,056 451,028 225,514 112,757 338,272 169,136 84,568 42,284 21,142 10,571 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577

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