3,346,344

2³ × 3² × 46477

3,346,344 has the prime decomposition 2^3 × 3^2 × 46477. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 46477

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,063,210

Proper Divisor Sum 5,716,866

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3346333 ← → #3346349

Radix Representation

Decimal	3346344
Binary	1100110000111110101000 (22 bits)
Octal	0o14607650
Hexadecimal	0x330FA8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 46,477 92,954 139,431 185,908 278,862 371,816 418,293 557,724 836,586 1,115,448 1,673,172 3,346,344

Collatz Trajectory (133 steps to reach 1)

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

3,346,344 1,673,172 836,586 418,293 1,254,880 627,440 313,720 156,860 78,430 39,215 117,646 58,823 176,470 88,235 264,706 132,353 397,060 198,530 99,265 297,796 148,898 74,449 223,348 111,674 55,837 167,512 83,756 41,878 20,939 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593

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