3,693,438

2 × 3⁴ × 7 × 3257

3,693,438 is even and not a perfect square. Its factorization is 2 × 3^4 × 7 × 3257 and its 40 divisors sum to 9,461,232.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 3257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,461,232

Proper Divisor Sum 5,767,794

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3693427 ← → #3693449

Radix Representation

Decimal	3693438
Binary	1110000101101101111110 (22 bits)
Octal	0o16055576
Hexadecimal	0x385B7E

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 3,257 6,514 9,771 19,542 22,799 29,313 45,598 58,626 68,397 87,939 136,794 175,878 205,191 263,817 410,382 527,634 615,573 1,231,146 1,846,719 3,693,438

Collatz Trajectory (203 steps to reach 1)

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

3,693,438 1,846,719 5,540,158 2,770,079 8,310,238 4,155,119 12,465,358 6,232,679 18,698,038 9,349,019 28,047,058 14,023,529 42,070,588 21,035,294 10,517,647 31,552,942 15,776,471 47,329,414 23,664,707 70,994,122 35,497,061 106,491,184 53,245,592 26,622,796 13,311,398 6,655,699 19,967,098 9,983,549 29,950,648 14,975,324 7,487,662 3,743,831 11,231,494 5,615,747 16,847,242 8,423,621 25,270,864 12,635,432 6,317,716 3,158,858 1,579,429 4,738,288 2,369,144 1,184,572 592,286 296,143 888,430 444,215 1,332,646 666,323 1,998,970 999,485 2,998,456 1,499,228 749,614 374,807 1,124,422 562,211 1,686,634 843,317

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