8,009,212

2² × 2002303

For 8,009,212, the 6 positive divisors have a total of 14,016,128. Removing 8,009,212 leaves 6,006,916, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 2002303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,016,128

Proper Divisor Sum 6,006,916

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8009179 ← → #8009219

Radix Representation

Decimal	8009212
Binary	11110100011010111111100 (23 bits)
Octal	0o36432774
Hexadecimal	0x7A35FC

Divisor Catalog (6)

1 2 4 2,002,303 4,004,606 8,009,212

Collatz Trajectory (142 steps to reach 1)

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

8,009,212 4,004,606 2,002,303 6,006,910 3,003,455 9,010,366 4,505,183 13,515,550 6,757,775 20,273,326 10,136,663 30,409,990 15,204,995 45,614,986 22,807,493 68,422,480 34,211,240 17,105,620 8,552,810 4,276,405 12,829,216 6,414,608 3,207,304 1,603,652 801,826 400,913 1,202,740 601,370 300,685 902,056 451,028 225,514 112,757 338,272 169,136 84,568 42,284 21,142 10,571 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476

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