3,393,416

2³ × 13 × 67 × 487

3,393,416 is even and not a perfect square. Its factorization is 2^3 × 13 × 67 × 487 and its 32 divisors sum to 6,968,640.

Prime Factor Structure

Factorization String 2^3 × 13 × 67 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,968,640

Proper Divisor Sum 3,575,224

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3393413 ← → #3393427

Radix Representation

Decimal	3393416
Binary	1100111100011110001000 (22 bits)
Octal	0o14743610
Hexadecimal	0x33C788

Divisor Catalog (32)

1 2 4 8 13 26 52 67 104 134 268 487 536 871 974 1,742 1,948 3,484 3,896 6,331 6,968 12,662 25,324 32,629 50,648 65,258 130,516 261,032 424,177 848,354 1,696,708 3,393,416

Collatz Trajectory (283 steps to reach 1)

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

3,393,416 1,696,708 848,354 424,177 1,272,532 636,266 318,133 954,400 477,200 238,600 119,300 59,650 29,825 89,476 44,738 22,369 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170

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