8,800,200

2³ × 3² × 5² × 4889

8,800,200 has digital root 9. The neighboring primes are 8800159 and 8800201; its proper-divisor sum differs from the starting integer by 11,959,650.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 4889

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 29,560,050

Proper Divisor Sum 20,759,850

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8800159 ← → #8800201

Radix Representation

Decimal	8800200
Binary	100001100100011111001000 (24 bits)
Octal	0o41443710
Hexadecimal	0x8647C8

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1,800 4,889 9,778 14,667 19,556 24,445 29,334 39,112 44,001 48,890 58,668 73,335 88,002 97,780 117,336 122,225 146,670 176,004 195,560 220,005 244,450 293,340 352,008 366,675 440,010

Collatz Trajectory (137 steps to reach 1)

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

8,800,200 4,400,100 2,200,050 1,100,025 3,300,076 1,650,038 825,019 2,475,058 1,237,529 3,712,588 1,856,294 928,147 2,784,442 1,392,221 4,176,664 2,088,332 1,044,166 522,083 1,566,250 783,125 2,349,376 1,174,688 587,344 293,672 146,836 73,418 36,709 110,128 55,064 27,532 13,766 6,883 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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