3,749,020

2² × 5 × 11 × 17041

3,749,020 has the prime decomposition 2^2 × 5 × 11 × 17041. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 17041

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,589,168

Proper Divisor Sum 4,840,148

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3748991 ← → #3749021

Radix Representation

Decimal	3749020
Binary	1110010011010010011100 (22 bits)
Octal	0o16232234
Hexadecimal	0x39349C

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 17,041 34,082 68,164 85,205 170,410 187,451 340,820 374,902 749,804 937,255 1,874,510 3,749,020

Collatz Trajectory (110 steps to reach 1)

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

3,749,020 1,874,510 937,255 2,811,766 1,405,883 4,217,650 2,108,825 6,326,476 3,163,238 1,581,619 4,744,858 2,372,429 7,117,288 3,558,644 1,779,322 889,661 2,668,984 1,334,492 667,246 333,623 1,000,870 500,435 1,501,306 750,653 2,251,960 1,125,980 562,990 281,495 844,486 422,243 1,266,730 633,365 1,900,096 950,048 475,024 237,512 118,756 59,378 29,689 89,068 44,534 22,267 66,802 33,401 100,204 50,102 25,051 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780

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