8,324,213

31 × 263 × 1021

8,324,213 is odd and not a perfect square. Its factorization is 31 × 263 × 1021 and its 8 divisors sum to 8,633,856.

Prime Factor Structure

Factorization String 31 × 263 × 1021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,633,856

Proper Divisor Sum 309,643

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8324207 ← → #8324219

Radix Representation

Decimal	8324213
Binary	11111110000010001110101 (23 bits)
Octal	0o37602165
Hexadecimal	0x7F0475

Divisor Catalog (8)

1 31 263 1,021 8,153 31,651 268,523 8,324,213

Collatz Trajectory (212 steps to reach 1)

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

8,324,213 24,972,640 12,486,320 6,243,160 3,121,580 1,560,790 780,395 2,341,186 1,170,593 3,511,780 1,755,890 877,945 2,633,836 1,316,918 658,459 1,975,378 987,689 2,963,068 1,481,534 740,767 2,222,302 1,111,151 3,333,454 1,666,727 5,000,182 2,500,091 7,500,274 3,750,137 11,250,412 5,625,206 2,812,603 8,437,810 4,218,905 12,656,716 6,328,358 3,164,179 9,492,538 4,746,269 14,238,808 7,119,404 3,559,702 1,779,851 5,339,554 2,669,777 8,009,332 4,004,666 2,002,333 6,007,000 3,003,500 1,501,750 750,875 2,252,626 1,126,313 3,378,940 1,689,470 844,735 2,534,206 1,267,103 3,801,310 1,900,655

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