6,993,231

3 × 7² × 113 × 421

6,993,231 is odd and not a perfect square. Its factorization is 3 × 7^2 × 113 × 421 and its 24 divisors sum to 10,968,624.

Prime Factor Structure

Factorization String 3 × 7^2 × 113 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,968,624

Proper Divisor Sum 3,975,393

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6993221 ← → #6993257

Radix Representation

Decimal	6993231
Binary	11010101011010101001111 (23 bits)
Octal	0o32532517
Hexadecimal	0x6AB54F

Divisor Catalog (24)

1 3 7 21 49 113 147 339 421 791 1,263 2,373 2,947 5,537 8,841 16,611 20,629 47,573 61,887 142,719 333,011 999,033 2,331,077 6,993,231

Collatz Trajectory (359 steps to reach 1)

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

6,993,231 20,979,694 10,489,847 31,469,542 15,734,771 47,204,314 23,602,157 70,806,472 35,403,236 17,701,618 8,850,809 26,552,428 13,276,214 6,638,107 19,914,322 9,957,161 29,871,484 14,935,742 7,467,871 22,403,614 11,201,807 33,605,422 16,802,711 50,408,134 25,204,067 75,612,202 37,806,101 113,418,304 56,709,152 28,354,576 14,177,288 7,088,644 3,544,322 1,772,161 5,316,484 2,658,242 1,329,121 3,987,364 1,993,682 996,841 2,990,524 1,495,262 747,631 2,242,894 1,121,447 3,364,342 1,682,171 5,046,514 2,523,257 7,569,772 3,784,886 1,892,443 5,677,330 2,838,665 8,515,996 4,257,998 2,128,999 6,386,998 3,193,499 9,580,498

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