6,000,981

3 × 7² × 40823

6,000,981 factors as 3 × 7^2 × 40823. Its 12 positive divisors give a proper-divisor sum of 3,306,891, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 40823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,307,872

Proper Divisor Sum 3,306,891

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6000977 ← → #6001013

Radix Representation

Decimal	6000981
Binary	10110111001000101010101 (23 bits)
Octal	0o26710525
Hexadecimal	0x5B9155

Divisor Catalog (12)

1 3 7 21 49 147 40,823 122,469 285,761 857,283 2,000,327 6,000,981

Collatz Trajectory (139 steps to reach 1)

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

6,000,981 18,002,944 9,001,472 4,500,736 2,250,368 1,125,184 562,592 281,296 140,648 70,324 35,162 17,581 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 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 4,238 2,119 6,358

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