λ
Zalai Atlas

3,241,596

22 × 3 × 270133
Abundant Even Composite

3,241,596 has the prime decomposition 2^2 × 3 × 270133. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 270133
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,563,752
Proper Divisor Sum 4,322,156
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3241573 ← → #3241627

Radix Representation

Decimal 3241596
Binary 1100010111011001111100 (22 bits)
Octal 0o14273174
Hexadecimal 0x31767C

Divisor Catalog (12)

1 2 3 4 6 12 270,133 540,266 810,399 1,080,532 1,620,798 3,241,596

Collatz Trajectory (407 steps to reach 1)

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

3,241,596 1,620,798 810,399 2,431,198 1,215,599 3,646,798 1,823,399 5,470,198 2,735,099 8,205,298 4,102,649 12,307,948 6,153,974 3,076,987 9,230,962 4,615,481 13,846,444 6,923,222 3,461,611 10,384,834 5,192,417 15,577,252 7,788,626 3,894,313 11,682,940 5,841,470 2,920,735 8,762,206 4,381,103 13,143,310 6,571,655 19,714,966 9,857,483 29,572,450 14,786,225 44,358,676 22,179,338 11,089,669 33,269,008 16,634,504 8,317,252 4,158,626 2,079,313 6,237,940 3,118,970 1,559,485 4,678,456 2,339,228 1,169,614 584,807 1,754,422 877,211 2,631,634 1,315,817 3,947,452 1,973,726 986,863 2,960,590 1,480,295 4,440,886

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