3,324,168

2³ × 3² × 137 × 337

Starting at 3,324,168, the Collatz iteration reaches 1 after 58 steps. The first transition is 1662084; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 137 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,095,580

Proper Divisor Sum 5,771,412

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3324151 ← → #3324179

Radix Representation

Decimal	3324168
Binary	1100101011100100001000 (22 bits)
Octal	0o14534410
Hexadecimal	0x32B908

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 137 274 337 411 548 674 822 1,011 1,096 1,233 1,348 1,644 2,022 2,466 2,696 3,033 3,288 4,044 4,932 6,066 8,088 9,864 12,132 24,264 46,169 92,338 138,507 184,676 277,014 369,352 415,521 554,028 831,042 1,108,056 1,662,084 3,324,168

Collatz Trajectory (58 steps to reach 1)

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

3,324,168 1,662,084 831,042 415,521 1,246,564 623,282 311,641 934,924 467,462 233,731 701,194 350,597 1,051,792 525,896 262,948 131,474 65,737 197,212 98,606 49,303 147,910 73,955 221,866 110,933 332,800 166,400 83,200 41,600 20,800 10,400 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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