4,084,024

2³ × 7 × 233 × 313

4,084,024 is even and not a perfect square. Its factorization is 2^3 × 7 × 233 × 313 and its 32 divisors sum to 8,817,120.

Prime Factor Structure

Factorization String 2^3 × 7 × 233 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,817,120

Proper Divisor Sum 4,733,096

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4084019 ← → #4084027

Radix Representation

Decimal	4084024
Binary	1111100101000100111000 (22 bits)
Octal	0o17450470
Hexadecimal	0x3E5138

Divisor Catalog (32)

1 2 4 7 8 14 28 56 233 313 466 626 932 1,252 1,631 1,864 2,191 2,504 3,262 4,382 6,524 8,764 13,048 17,528 72,929 145,858 291,716 510,503 583,432 1,021,006 2,042,012 4,084,024

Collatz Trajectory (185 steps to reach 1)

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

4,084,024 2,042,012 1,021,006 510,503 1,531,510 765,755 2,297,266 1,148,633 3,445,900 1,722,950 861,475 2,584,426 1,292,213 3,876,640 1,938,320 969,160 484,580 242,290 121,145 363,436 181,718 90,859 272,578 136,289 408,868 204,434 102,217 306,652 153,326 76,663 229,990 114,995 344,986 172,493 517,480 258,740 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386 18,193 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319

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