8,814,325

5² × 13 × 37 × 733

8,814,325 is odd and not a perfect square. Its factorization is 5^2 × 13 × 37 × 733 and its 24 divisors sum to 12,105,128.

Prime Factor Structure

Factorization String 5^2 × 13 × 37 × 733

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,105,128

Proper Divisor Sum 3,290,803

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8814301 ← → #8814331

Radix Representation

Decimal	8814325
Binary	100001100111111011110101 (24 bits)
Octal	0o41477365
Hexadecimal	0x867EF5

Divisor Catalog (24)

1 5 13 25 37 65 185 325 481 733 925 2,405 3,665 9,529 12,025 18,325 27,121 47,645 135,605 238,225 352,573 678,025 1,762,865 8,814,325

Collatz Trajectory (150 steps to reach 1)

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

8,814,325 26,442,976 13,221,488 6,610,744 3,305,372 1,652,686 826,343 2,479,030 1,239,515 3,718,546 1,859,273 5,577,820 2,788,910 1,394,455 4,183,366 2,091,683 6,275,050 3,137,525 9,412,576 4,706,288 2,353,144 1,176,572 588,286 294,143 882,430 441,215 1,323,646 661,823 1,985,470 992,735 2,978,206 1,489,103 4,467,310 2,233,655 6,700,966 3,350,483 10,051,450 5,025,725 15,077,176 7,538,588 3,769,294 1,884,647 5,653,942 2,826,971 8,480,914 4,240,457 12,721,372 6,360,686 3,180,343 9,541,030 4,770,515 14,311,546 7,155,773 21,467,320 10,733,660 5,366,830 2,683,415 8,050,246 4,025,123 12,075,370

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