8,002,014

2 × 3 × 1333669

8,002,014 factors as 2 × 3 × 1333669. Its 8 positive divisors give a proper-divisor sum of 8,002,026, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 3 × 1333669

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,004,040

Proper Divisor Sum 8,002,026

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #8002013 ← → #8002051

Radix Representation

Decimal	8002014
Binary	11110100001100111011110 (23 bits)
Octal	0o36414736
Hexadecimal	0x7A19DE

Divisor Catalog (8)

1 2 3 6 1,333,669 2,667,338 4,001,007 8,002,014

Collatz Trajectory (116 steps to reach 1)

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

8,002,014 4,001,007 12,003,022 6,001,511 18,004,534 9,002,267 27,006,802 13,503,401 40,510,204 20,255,102 10,127,551 30,382,654 15,191,327 45,573,982 22,786,991 68,360,974 34,180,487 102,541,462 51,270,731 153,812,194 76,906,097 230,718,292 115,359,146 57,679,573 173,038,720 86,519,360 43,259,680 21,629,840 10,814,920 5,407,460 2,703,730 1,351,865 4,055,596 2,027,798 1,013,899 3,041,698 1,520,849 4,562,548 2,281,274 1,140,637 3,421,912 1,710,956 855,478 427,739 1,283,218 641,609 1,924,828 962,414 481,207 1,443,622 721,811 2,165,434 1,082,717 3,248,152 1,624,076 812,038 406,019 1,218,058 609,029 1,827,088

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