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5,367,285

32 × 5 × 7 × 11 × 1549
Abundant Odd Composite

5,367,285 factors as 3^2 × 5 × 7 × 11 × 1549. Its 48 positive divisors give a proper-divisor sum of 6,239,115, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 1549
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,606,400
Proper Divisor Sum 6,239,115
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5367277 ← → #5367287

Radix Representation

Decimal 5367285
Binary 10100011110010111110101 (23 bits)
Octal 0o24362765
Hexadecimal 0x51E5F5

Divisor Catalog (48)

1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1,155 1,549 3,465 4,647 7,745 10,843 13,941 17,039 23,235 32,529 51,117 54,215 69,705 85,195 97,587 119,273 153,351 162,645 255,585 357,819 487,935 596,365 766,755 1,073,457 1,789,095 5,367,285

Collatz Trajectory (95 steps to reach 1)

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

5,367,285 16,101,856 8,050,928 4,025,464 2,012,732 1,006,366 503,183 1,509,550 754,775 2,264,326 1,132,163 3,396,490 1,698,245 5,094,736 2,547,368 1,273,684 636,842 318,421 955,264 477,632 238,816 119,408 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947

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