5,133,582

2 × 3² × 285199

5,133,582 factors as 2 × 3^2 × 285199. Its 12 positive divisors give a proper-divisor sum of 5,989,218, so this integer is abundant. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 285199

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,122,800

Proper Divisor Sum 5,989,218

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5133581 ← → #5133593

Radix Representation

Decimal	5133582
Binary	10011100101010100001110 (23 bits)
Octal	0o23452416
Hexadecimal	0x4E550E

Divisor Catalog (12)

1 2 3 6 9 18 285,199 570,398 855,597 1,711,194 2,566,791 5,133,582

Collatz Trajectory (281 steps to reach 1)

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

5,133,582 2,566,791 7,700,374 3,850,187 11,550,562 5,775,281 17,325,844 8,662,922 4,331,461 12,994,384 6,497,192 3,248,596 1,624,298 812,149 2,436,448 1,218,224 609,112 304,556 152,278 76,139 228,418 114,209 342,628 171,314 85,657 256,972 128,486 64,243 192,730 96,365 289,096 144,548 72,274 36,137 108,412 54,206 27,103 81,310 40,655 121,966 60,983 182,950 91,475 274,426 137,213 411,640 205,820 102,910 51,455 154,366 77,183 231,550 115,775 347,326 173,663 520,990 260,495 781,486 390,743 1,172,230

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