563,274

2 × 3⁵ × 19 × 61

563,274 factors as 2 × 3^5 × 19 × 61. Its 48 positive divisors give a proper-divisor sum of 790,806, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 19 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,354,080

Proper Divisor Sum 790,806

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #563263 ← → #563287

Radix Representation

Decimal	563274
Binary	10001001100001001010 (20 bits)
Octal	0o2114112
Hexadecimal	0x8984A

Divisor Catalog (48)

1 2 3 6 9 18 19 27 38 54 57 61 81 114 122 162 171 183 243 342 366 486 513 549 1,026 1,098 1,159 1,539 1,647 2,318 3,078 3,294 3,477 4,617 4,941 6,954 9,234 9,882 10,431 14,823 20,862 29,646 31,293 62,586 93,879 187,758 281,637 563,274

Collatz Trajectory (159 steps to reach 1)

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

563,274 281,637 844,912 422,456 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623

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