6,221,007

3² × 13 × 53171

6,221,007 is odd and not a perfect square. Its factorization is 3^2 × 13 × 53171 and its 12 divisors sum to 9,677,304.

Prime Factor Structure

Factorization String 3^2 × 13 × 53171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,677,304

Proper Divisor Sum 3,456,297

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6221003 ← → #6221009

Radix Representation

Decimal	6221007
Binary	10111101110110011001111 (23 bits)
Octal	0o27566317
Hexadecimal	0x5EECCF

Divisor Catalog (12)

1 3 9 13 39 117 53,171 159,513 478,539 691,223 2,073,669 6,221,007

Collatz Trajectory (134 steps to reach 1)

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

6,221,007 18,663,022 9,331,511 27,994,534 13,997,267 41,991,802 20,995,901 62,987,704 31,493,852 15,746,926 7,873,463 23,620,390 11,810,195 35,430,586 17,715,293 53,145,880 26,572,940 13,286,470 6,643,235 19,929,706 9,964,853 29,894,560 14,947,280 7,473,640 3,736,820 1,868,410 934,205 2,802,616 1,401,308 700,654 350,327 1,050,982 525,491 1,576,474 788,237 2,364,712 1,182,356 591,178 295,589 886,768 443,384 221,692 110,846 55,423 166,270 83,135 249,406 124,703 374,110 187,055 561,166 280,583 841,750 420,875 1,262,626 631,313 1,893,940 946,970 473,485 1,420,456

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