3,423,918

2 × 3 × 23 × 43 × 577

Starting at 3,423,918, the Collatz iteration reaches 1 after 221 steps. The first transition is 1711959; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 43 × 577

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,324,416

Proper Divisor Sum 3,900,498

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3423913 ← → #3423929

Radix Representation

Decimal	3423918
Binary	1101000011111010101110 (22 bits)
Octal	0o15037256
Hexadecimal	0x343EAE

Divisor Catalog (32)

1 2 3 6 23 43 46 69 86 129 138 258 577 989 1,154 1,731 1,978 2,967 3,462 5,934 13,271 24,811 26,542 39,813 49,622 74,433 79,626 148,866 570,653 1,141,306 1,711,959 3,423,918

Collatz Trajectory (221 steps to reach 1)

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

3,423,918 1,711,959 5,135,878 2,567,939 7,703,818 3,851,909 11,555,728 5,777,864 2,888,932 1,444,466 722,233 2,166,700 1,083,350 541,675 1,625,026 812,513 2,437,540 1,218,770 609,385 1,828,156 914,078 457,039 1,371,118 685,559 2,056,678 1,028,339 3,085,018 1,542,509 4,627,528 2,313,764 1,156,882 578,441 1,735,324 867,662 433,831 1,301,494 650,747 1,952,242 976,121 2,928,364 1,464,182 732,091 2,196,274 1,098,137 3,294,412 1,647,206 823,603 2,470,810 1,235,405 3,706,216 1,853,108 926,554 463,277 1,389,832 694,916 347,458 173,729 521,188 260,594 130,297

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