5,506,550

2 × 5² × 7 × 15733

5,506,550 factors as 2 × 5^2 × 7 × 15733. Its 24 positive divisors give a proper-divisor sum of 6,199,546, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 15733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,706,096

Proper Divisor Sum 6,199,546

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5506513 ← → #5506559

Radix Representation

Decimal	5506550
Binary	10101000000010111110110 (23 bits)
Octal	0o25002766
Hexadecimal	0x5405F6

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 15,733 31,466 78,665 110,131 157,330 220,262 393,325 550,655 786,650 1,101,310 2,753,275 5,506,550

Collatz Trajectory (201 steps to reach 1)

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

5,506,550 2,753,275 8,259,826 4,129,913 12,389,740 6,194,870 3,097,435 9,292,306 4,646,153 13,938,460 6,969,230 3,484,615 10,453,846 5,226,923 15,680,770 7,840,385 23,521,156 11,760,578 5,880,289 17,640,868 8,820,434 4,410,217 13,230,652 6,615,326 3,307,663 9,922,990 4,961,495 14,884,486 7,442,243 22,326,730 11,163,365 33,490,096 16,745,048 8,372,524 4,186,262 2,093,131 6,279,394 3,139,697 9,419,092 4,709,546 2,354,773 7,064,320 3,532,160 1,766,080 883,040 441,520 220,760 110,380 55,190 27,595 82,786 41,393 124,180 62,090 31,045 93,136 46,568 23,284 11,642 5,821

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