3,333,667

433 × 7699

Starting at 3,333,667, the Collatz iteration reaches 1 after 133 steps. The first transition is 10001002; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 433 × 7699

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,341,800

Proper Divisor Sum 8,133

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3333653 ← → #3333679

Radix Representation

Decimal	3333667
Binary	1100101101111000100011 (22 bits)
Octal	0o14557043
Hexadecimal	0x32DE23

Divisor Catalog (4)

1 433 7,699 3,333,667

Collatz Trajectory (133 steps to reach 1)

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

3,333,667 10,001,002 5,000,501 15,001,504 7,500,752 3,750,376 1,875,188 937,594 468,797 1,406,392 703,196 351,598 175,799 527,398 263,699 791,098 395,549 1,186,648 593,324 296,662 148,331 444,994 222,497 667,492 333,746 166,873 500,620 250,310 125,155 375,466 187,733 563,200 281,600 140,800 70,400 35,200 17,600 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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