8,006,722

2 × 4003361

For 8,006,722, the 4 positive divisors have a total of 12,010,086. Removing 8,006,722 leaves 4,003,364, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 4003361

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 12,010,086

Proper Divisor Sum 4,003,364

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8006699 ← → #8006749

Radix Representation

Decimal	8006722
Binary	11110100010110001000010 (23 bits)
Octal	0o36426102
Hexadecimal	0x7A2C42

Divisor Catalog (4)

1 2 4,003,361 8,006,722

Collatz Trajectory (142 steps to reach 1)

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

8,006,722 4,003,361 12,010,084 6,005,042 3,002,521 9,007,564 4,503,782 2,251,891 6,755,674 3,377,837 10,133,512 5,066,756 2,533,378 1,266,689 3,800,068 1,900,034 950,017 2,850,052 1,425,026 712,513 2,137,540 1,068,770 534,385 1,603,156 801,578 400,789 1,202,368 601,184 300,592 150,296 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476

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