3,211,641

3² × 53 × 6733

3,211,641 factors as 3^2 × 53 × 6733. Its 12 positive divisors give a proper-divisor sum of 1,515,627, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 3^2 × 53 × 6733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,727,268

Proper Divisor Sum 1,515,627

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3211639 ← → #3211667

Radix Representation

Decimal	3211641
Binary	1100010000000101111001 (22 bits)
Octal	0o14200571
Hexadecimal	0x310179

Divisor Catalog (12)

1 3 9 53 159 477 6,733 20,199 60,597 356,849 1,070,547 3,211,641

Collatz Trajectory (252 steps to reach 1)

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

3,211,641 9,634,924 4,817,462 2,408,731 7,226,194 3,613,097 10,839,292 5,419,646 2,709,823 8,129,470 4,064,735 12,194,206 6,097,103 18,291,310 9,145,655 27,436,966 13,718,483 41,155,450 20,577,725 61,733,176 30,866,588 15,433,294 7,716,647 23,149,942 11,574,971 34,724,914 17,362,457 52,087,372 26,043,686 13,021,843 39,065,530 19,532,765 58,598,296 29,299,148 14,649,574 7,324,787 21,974,362 10,987,181 32,961,544 16,480,772 8,240,386 4,120,193 12,360,580 6,180,290 3,090,145 9,270,436 4,635,218 2,317,609 6,952,828 3,476,414 1,738,207 5,214,622 2,607,311 7,821,934 3,910,967 11,732,902 5,866,451 17,599,354 8,799,677 26,399,032

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