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5,229,250

2 × 53 × 13 × 1609
Abundant Even Composite

5,229,250 factors as 2 × 5^3 × 13 × 1609. Its 32 positive divisors give a proper-divisor sum of 5,319,470, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 13 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,548,720
Proper Divisor Sum 5,319,470
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5229233 ← → #5229253

Radix Representation

Decimal 5229250
Binary 10011111100101011000010 (23 bits)
Octal 0o23745302
Hexadecimal 0x4FCAC2

Divisor Catalog (32)

1 2 5 10 13 25 26 50 65 125 130 250 325 650 1,609 1,625 3,218 3,250 8,045 16,090 20,917 40,225 41,834 80,450 104,585 201,125 209,170 402,250 522,925 1,045,850 2,614,625 5,229,250

Collatz Trajectory (157 steps to reach 1)

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

5,229,250 2,614,625 7,843,876 3,921,938 1,960,969 5,882,908 2,941,454 1,470,727 4,412,182 2,206,091 6,618,274 3,309,137 9,927,412 4,963,706 2,481,853 7,445,560 3,722,780 1,861,390 930,695 2,792,086 1,396,043 4,188,130 2,094,065 6,282,196 3,141,098 1,570,549 4,711,648 2,355,824 1,177,912 588,956 294,478 147,239 441,718 220,859 662,578 331,289 993,868 496,934 248,467 745,402 372,701 1,118,104 559,052 279,526 139,763 419,290 209,645 628,936 314,468 157,234 78,617 235,852 117,926 58,963 176,890 88,445 265,336 132,668 66,334 33,167

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