8,828,325

3³ × 5² × 11 × 29 × 41

8,828,325 is odd and not a perfect square. Its factorization is 3^3 × 5^2 × 11 × 29 × 41 and its 96 divisors sum to 18,748,800.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 11 × 29 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 18,748,800

Proper Divisor Sum 9,920,475

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8828317 ← → #8828327

Radix Representation

Decimal	8828325
Binary	100001101011010110100101 (24 bits)
Octal	0o41532645
Hexadecimal	0x86B5A5

Divisor Catalog (60 of 96)

1 3 5 9 11 15 25 27 29 33 41 45 55 75 87 99 123 135 145 165 205 225 261 275 297 319 369 435 451 495 615 675 725 783 825 957 1,025 1,107 1,189 1,305 1,353 1,485 1,595 1,845 2,175 2,255 2,475 2,871 3,075 3,567 3,915 4,059 4,785 5,535 5,945 6,525 6,765 7,425 7,975 8,613

Collatz Trajectory (150 steps to reach 1)

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

8,828,325 26,484,976 13,242,488 6,621,244 3,310,622 1,655,311 4,965,934 2,482,967 7,448,902 3,724,451 11,173,354 5,586,677 16,760,032 8,380,016 4,190,008 2,095,004 1,047,502 523,751 1,571,254 785,627 2,356,882 1,178,441 3,535,324 1,767,662 883,831 2,651,494 1,325,747 3,977,242 1,988,621 5,965,864 2,982,932 1,491,466 745,733 2,237,200 1,118,600 559,300 279,650 139,825 419,476 209,738 104,869 314,608 157,304 78,652 39,326 19,663 58,990 29,495 88,486 44,243 132,730 66,365 199,096 99,548 49,774 24,887 74,662 37,331 111,994 55,997

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