3,819,180

2² × 3 × 5 × 53 × 1201

Starting at 3,819,180, the Collatz iteration reaches 1 after 159 steps. The first transition is 1909590; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 53 × 1201

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,904,544

Proper Divisor Sum 7,085,364

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3819143 ← → #3819187

Radix Representation

Decimal	3819180
Binary	1110100100011010101100 (22 bits)
Octal	0o16443254
Hexadecimal	0x3A46AC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1,060 1,201 1,590 2,402 3,180 3,603 4,804 6,005 7,206 12,010 14,412 18,015 24,020 36,030 63,653 72,060 127,306 190,959 254,612 318,265 381,918 636,530 763,836 954,795 1,273,060 1,909,590 3,819,180

Collatz Trajectory (159 steps to reach 1)

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

3,819,180 1,909,590 954,795 2,864,386 1,432,193 4,296,580 2,148,290 1,074,145 3,222,436 1,611,218 805,609 2,416,828 1,208,414 604,207 1,812,622 906,311 2,718,934 1,359,467 4,078,402 2,039,201 6,117,604 3,058,802 1,529,401 4,588,204 2,294,102 1,147,051 3,441,154 1,720,577 5,161,732 2,580,866 1,290,433 3,871,300 1,935,650 967,825 2,903,476 1,451,738 725,869 2,177,608 1,088,804 544,402 272,201 816,604 408,302 204,151 612,454 306,227 918,682 459,341 1,378,024 689,012 344,506 172,253 516,760 258,380 129,190 64,595 193,786 96,893 290,680 145,340

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