3,362,220

2² × 3² × 5 × 18679

3,362,220 factors as 2^2 × 3^2 × 5 × 18679. Its 36 positive divisors give a proper-divisor sum of 6,837,060, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 18679

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,199,280

Proper Divisor Sum 6,837,060

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3362207 ← → #3362237

Radix Representation

Decimal	3362220
Binary	1100110100110110101100 (22 bits)
Octal	0o14646654
Hexadecimal	0x334DAC

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18,679 37,358 56,037 74,716 93,395 112,074 168,111 186,790 224,148 280,185 336,222 373,580 560,370 672,444 840,555 1,120,740 1,681,110 3,362,220

Collatz Trajectory (133 steps to reach 1)

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

3,362,220 1,681,110 840,555 2,521,666 1,260,833 3,782,500 1,891,250 945,625 2,836,876 1,418,438 709,219 2,127,658 1,063,829 3,191,488 1,595,744 797,872 398,936 199,468 99,734 49,867 149,602 74,801 224,404 112,202 56,101 168,304 84,152 42,076 21,038 10,519 31,558 15,779 47,338 23,669 71,008 35,504 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562

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