563,160

2³ × 3 × 5 × 13 × 19²

563,160 factors as 2^3 × 3 × 5 × 13 × 19^2. Its 96 positive divisors give a proper-divisor sum of 1,357,080, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,920,240

Proper Divisor Sum 1,357,080

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #563153 ← → #563183

Radix Representation

Decimal	563160
Binary	10001001011111011000 (20 bits)
Octal	0o2113730
Hexadecimal	0x897D8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 361 380 390 456 494 520 570 722 741 760 780 988 1,083 1,140 1,235 1,444 1,482 1,560 1,805 1,976 2,166

Collatz Trajectory (133 steps to reach 1)

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

563,160 281,580 140,790 70,395 211,186 105,593 316,780 158,390 79,195 237,586 118,793 356,380 178,190 89,095 267,286 133,643 400,930 200,465 601,396 300,698 150,349 451,048 225,524 112,762 56,381 169,144 84,572 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 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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