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5,664,366

2 × 32 × 17 × 107 × 173
Abundant Even Composite

5,664,366 factors as 2 × 3^2 × 17 × 107 × 173. Its 48 positive divisors give a proper-divisor sum of 7,527,618, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 107 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,191,984
Proper Divisor Sum 7,527,618
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5664359 ← → #5664377

Radix Representation

Decimal 5664366
Binary 10101100110111001101110 (23 bits)
Octal 0o25467156
Hexadecimal 0x566E6E

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 102 107 153 173 214 306 321 346 519 642 963 1,038 1,557 1,819 1,926 2,941 3,114 3,638 5,457 5,882 8,823 10,914 16,371 17,646 18,511 26,469 32,742 37,022 52,938 55,533 111,066 166,599 314,687 333,198 629,374 944,061 1,888,122 2,832,183 5,664,366

Collatz Trajectory (108 steps to reach 1)

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

5,664,366 2,832,183 8,496,550 4,248,275 12,744,826 6,372,413 19,117,240 9,558,620 4,779,310 2,389,655 7,168,966 3,584,483 10,753,450 5,376,725 16,130,176 8,065,088 4,032,544 2,016,272 1,008,136 504,068 252,034 126,017 378,052 189,026 94,513 283,540 141,770 70,885 212,656 106,328 53,164 26,582 13,291 39,874 19,937 59,812 29,906 14,953 44,860 22,430 11,215 33,646 16,823 50,470 25,235 75,706 37,853 113,560 56,780 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989

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