9,102,231

3² × 1011359

9,102,231 factors as 3^2 × 1011359. Its 6 positive divisors give a proper-divisor sum of 4,045,449, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3^2 × 1011359

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,147,680

Proper Divisor Sum 4,045,449

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #9102229 ← → #9102241

Radix Representation

Decimal	9102231
Binary	100010101110001110010111 (24 bits)
Octal	0o42561627
Hexadecimal	0x8AE397

Divisor Catalog (6)

1 3 9 1,011,359 3,034,077 9,102,231

Collatz Trajectory (80 steps to reach 1)

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

9,102,231 27,306,694 13,653,347 40,960,042 20,480,021 61,440,064 30,720,032 15,360,016 7,680,008 3,840,004 1,920,002 960,001 2,880,004 1,440,002 720,001 2,160,004 1,080,002 540,001 1,620,004 810,002 405,001 1,215,004 607,502 303,751 911,254 455,627 1,366,882 683,441 2,050,324 1,025,162 512,581 1,537,744 768,872 384,436 192,218 96,109 288,328 144,164 72,082 36,041 108,124 54,062 27,031 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604

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