4,006,284

2² × 3 × 333857

4,006,284 has the prime decomposition 2^2 × 3 × 333857. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 333857

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,348,024

Proper Divisor Sum 5,341,740

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4006273 ← → #4006307

Radix Representation

Decimal	4006284
Binary	1111010010000110001100 (22 bits)
Octal	0o17220614
Hexadecimal	0x3D218C

Divisor Catalog (12)

1 2 3 4 6 12 333,857 667,714 1,001,571 1,335,428 2,003,142 4,006,284

Collatz Trajectory (92 steps to reach 1)

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

4,006,284 2,003,142 1,001,571 3,004,714 1,502,357 4,507,072 2,253,536 1,126,768 563,384 281,692 140,846 70,423 211,270 105,635 316,906 158,453 475,360 237,680 118,840 59,420 29,710 14,855 44,566 22,283 66,850 33,425 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424

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