3,800,070

2 × 3² × 5 × 42223

3,800,070 factors as 2 × 3^2 × 5 × 42223. Its 24 positive divisors give a proper-divisor sum of 6,080,346, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 42223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,880,416

Proper Divisor Sum 6,080,346

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3800063 ← → #3800081

Radix Representation

Decimal	3800070
Binary	1110011111110000000110 (22 bits)
Octal	0o16376006
Hexadecimal	0x39FC06

Divisor Catalog (24)

Collatz Trajectory (128 steps to reach 1)

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

3,800,070 1,900,035 5,700,106 2,850,053 8,550,160 4,275,080 2,137,540 1,068,770 534,385 1,603,156 801,578 400,789 1,202,368 601,184 300,592 150,296 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025

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