3,960,180

2² × 3² × 5 × 7² × 449

3,960,180 factors as 2^2 × 3^2 × 5 × 7^2 × 449. Its 108 positive divisors give a proper-divisor sum of 10,044,720, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2 × 449

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 14,004,900

Proper Divisor Sum 10,044,720

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3960161 ← → #3960193

Radix Representation

Decimal	3960180
Binary	1111000110110101110100 (22 bits)
Octal	0o17066564
Hexadecimal	0x3C6D74

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 449 490 588 630 735 882 898 980 1,260 1,347 1,470 1,764 1,796 2,205 2,245 2,694 2,940 3,143 4,041

Collatz Trajectory (154 steps to reach 1)

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

3,960,180 1,980,090 990,045 2,970,136 1,485,068 742,534 371,267 1,113,802 556,901 1,670,704 835,352 417,676 208,838 104,419 313,258 156,629 469,888 234,944 117,472 58,736 29,368 14,684 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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