5,000,229

3² × 13 × 42737

5,000,229 factors as 3^2 × 13 × 42737. Its 12 positive divisors give a proper-divisor sum of 2,778,087, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 42737

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,778,316

Proper Divisor Sum 2,778,087

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5000213 ← → #5000251

Radix Representation

Decimal	5000229
Binary	10011000100110000100101 (23 bits)
Octal	0o23046045
Hexadecimal	0x4C4C25

Divisor Catalog (12)

1 3 9 13 39 117 42,737 128,211 384,633 555,581 1,666,743 5,000,229

Collatz Trajectory (162 steps to reach 1)

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

5,000,229 15,000,688 7,500,344 3,750,172 1,875,086 937,543 2,812,630 1,406,315 4,218,946 2,109,473 6,328,420 3,164,210 1,582,105 4,746,316 2,373,158 1,186,579 3,559,738 1,779,869 5,339,608 2,669,804 1,334,902 667,451 2,002,354 1,001,177 3,003,532 1,501,766 750,883 2,252,650 1,126,325 3,378,976 1,689,488 844,744 422,372 211,186 105,593 316,780 158,390 79,195 237,586 118,793 356,380 178,190 89,095 267,286 133,643 400,930 200,465 601,396 300,698 150,349 451,048 225,524 112,762 56,381 169,144 84,572 42,286 21,143 63,430 31,715

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