557,286

2 × 3 × 293 × 317

557,286 factors as 2 × 3 × 293 × 317. Its 16 positive divisors give a proper-divisor sum of 564,618, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 3 × 293 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,121,904

Proper Divisor Sum 564,618

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #557281 ← → #557303

Radix Representation

Decimal	557286
Binary	10001000000011100110 (20 bits)
Octal	0o2100346
Hexadecimal	0x880E6

Divisor Catalog (16)

1 2 3 6 293 317 586 634 879 951 1,758 1,902 92,881 185,762 278,643 557,286

Collatz Trajectory (159 steps to reach 1)

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

557,286 278,643 835,930 417,965 1,253,896 626,948 313,474 156,737 470,212 235,106 117,553 352,660 176,330 88,165 264,496 132,248 66,124 33,062 16,531 49,594 24,797 74,392 37,196 18,598 9,299 27,898 13,949 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220

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