6,971,973

3 × 349 × 6659

6,971,973 factors as 3 × 349 × 6659. Its 8 positive divisors give a proper-divisor sum of 2,352,027, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3 × 349 × 6659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,324,000

Proper Divisor Sum 2,352,027

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6971963 ← → #6971981

Radix Representation

Decimal	6971973
Binary	11010100110001001000101 (23 bits)
Octal	0o32461105
Hexadecimal	0x6A6245

Divisor Catalog (8)

1 3 349 1,047 6,659 19,977 2,323,991 6,971,973

Collatz Trajectory (98 steps to reach 1)

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

6,971,973 20,915,920 10,457,960 5,228,980 2,614,490 1,307,245 3,921,736 1,960,868 980,434 490,217 1,470,652 735,326 367,663 1,102,990 551,495 1,654,486 827,243 2,481,730 1,240,865 3,722,596 1,861,298 930,649 2,791,948 1,395,974 697,987 2,093,962 1,046,981 3,140,944 1,570,472 785,236 392,618 196,309 588,928 294,464 147,232 73,616 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229

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