8,820,225

3³ × 5² × 73 × 179

8,820,225 has the prime decomposition 3^3 × 5^2 × 73 × 179. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 73 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,516,800

Proper Divisor Sum 7,696,575

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8820223 ← → #8820257

Radix Representation

Decimal	8820225
Binary	100001101001011000000001 (24 bits)
Octal	0o41513001
Hexadecimal	0x869601

Divisor Catalog (48)

1 3 5 9 15 25 27 45 73 75 135 179 219 225 365 537 657 675 895 1,095 1,611 1,825 1,971 2,685 3,285 4,475 4,833 5,475 8,055 9,855 13,067 13,425 16,425 24,165 39,201 40,275 49,275 65,335 117,603 120,825 196,005 326,675 352,809 588,015 980,025 1,764,045 2,940,075 8,820,225

Collatz Trajectory (168 steps to reach 1)

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

8,820,225 26,460,676 13,230,338 6,615,169 19,845,508 9,922,754 4,961,377 14,884,132 7,442,066 3,721,033 11,163,100 5,581,550 2,790,775 8,372,326 4,186,163 12,558,490 6,279,245 18,837,736 9,418,868 4,709,434 2,354,717 7,064,152 3,532,076 1,766,038 883,019 2,649,058 1,324,529 3,973,588 1,986,794 993,397 2,980,192 1,490,096 745,048 372,524 186,262 93,131 279,394 139,697 419,092 209,546 104,773 314,320 157,160 78,580 39,290 19,645 58,936 29,468 14,734 7,367 22,102 11,051 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325

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