9,200,223

3⁵ × 37861

9,200,223 factors as 3^5 × 37861. Its 12 positive divisors give a proper-divisor sum of 4,581,545, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^5 × 37861

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,781,768

Proper Divisor Sum 4,581,545

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #9200183 ← → #9200227

Radix Representation

Decimal	9200223
Binary	100011000110001001011111 (24 bits)
Octal	0o43061137
Hexadecimal	0x8C625F

Divisor Catalog (12)

1 3 9 27 81 243 37,861 113,583 340,749 1,022,247 3,066,741 9,200,223

Collatz Trajectory (163 steps to reach 1)

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

9,200,223 27,600,670 13,800,335 41,401,006 20,700,503 62,101,510 31,050,755 93,152,266 46,576,133 139,728,400 69,864,200 34,932,100 17,466,050 8,733,025 26,199,076 13,099,538 6,549,769 19,649,308 9,824,654 4,912,327 14,736,982 7,368,491 22,105,474 11,052,737 33,158,212 16,579,106 8,289,553 24,868,660 12,434,330 6,217,165 18,651,496 9,325,748 4,662,874 2,331,437 6,994,312 3,497,156 1,748,578 874,289 2,622,868 1,311,434 655,717 1,967,152 983,576 491,788 245,894 122,947 368,842 184,421 553,264 276,632 138,316 69,158 34,579 103,738 51,869 155,608 77,804 38,902 19,451 58,354

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