3,958,780

2² × 5 × 7 × 28277

3,958,780 factors as 2^2 × 5 × 7 × 28277. Its 24 positive divisors give a proper-divisor sum of 5,542,628, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 28277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,501,408

Proper Divisor Sum 5,542,628

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3958777 ← → #3958789

Radix Representation

Decimal	3958780
Binary	1111000110011111111100 (22 bits)
Octal	0o17063774
Hexadecimal	0x3C67FC

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

3,958,780 1,979,390 989,695 2,969,086 1,484,543 4,453,630 2,226,815 6,680,446 3,340,223 10,020,670 5,010,335 15,031,006 7,515,503 22,546,510 11,273,255 33,819,766 16,909,883 50,729,650 25,364,825 76,094,476 38,047,238 19,023,619 57,070,858 28,535,429 85,606,288 42,803,144 21,401,572 10,700,786 5,350,393 16,051,180 8,025,590 4,012,795 12,038,386 6,019,193 18,057,580 9,028,790 4,514,395 13,543,186 6,771,593 20,314,780 10,157,390 5,078,695 15,236,086 7,618,043 22,854,130 11,427,065 34,281,196 17,140,598 8,570,299 25,710,898 12,855,449 38,566,348 19,283,174 9,641,587 28,924,762 14,462,381 43,387,144 21,693,572 10,846,786 5,423,393

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