8,323,924

2² × 7³ × 6067

8,323,924 factors as 2^2 × 7^3 × 6067. Its 24 positive divisors give a proper-divisor sum of 8,666,476, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 7^3 × 6067

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,990,400

Proper Divisor Sum 8,666,476

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8323891 ← → #8323933

Radix Representation

Decimal	8323924
Binary	11111110000001101010100 (23 bits)
Octal	0o37601524
Hexadecimal	0x7F0354

Divisor Catalog (24)

Collatz Trajectory (80 steps to reach 1)

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

8,323,924 4,161,962 2,080,981 6,242,944 3,121,472 1,560,736 780,368 390,184 195,092 97,546 48,773 146,320 73,160 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245

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