6,941,337

3 × 13² × 13691

6,941,337 factors as 3 × 13^2 × 13691. Its 12 positive divisors give a proper-divisor sum of 3,081,207, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 13691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,022,544

Proper Divisor Sum 3,081,207

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6941323 ← → #6941339

Radix Representation

Decimal	6941337
Binary	11010011110101010011001 (23 bits)
Octal	0o32365231
Hexadecimal	0x69EA99

Divisor Catalog (12)

1 3 13 39 169 507 13,691 41,073 177,983 533,949 2,313,779 6,941,337

Collatz Trajectory (191 steps to reach 1)

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

6,941,337 20,824,012 10,412,006 5,206,003 15,618,010 7,809,005 23,427,016 11,713,508 5,856,754 2,928,377 8,785,132 4,392,566 2,196,283 6,588,850 3,294,425 9,883,276 4,941,638 2,470,819 7,412,458 3,706,229 11,118,688 5,559,344 2,779,672 1,389,836 694,918 347,459 1,042,378 521,189 1,563,568 781,784 390,892 195,446 97,723 293,170 146,585 439,756 219,878 109,939 329,818 164,909 494,728 247,364 123,682 61,841 185,524 92,762 46,381 139,144 69,572 34,786 17,393 52,180 26,090 13,045 39,136 19,568 9,784 4,892 2,446 1,223

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