3,333,529

83 × 40163

Starting at 3,333,529, the Collatz iteration reaches 1 after 177 steps. The first transition is 10000588; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 40163

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,373,776

Proper Divisor Sum 40,247

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3333527 ← → #3333593

Radix Representation

Decimal	3333529
Binary	1100101101110110011001 (22 bits)
Octal	0o14556631
Hexadecimal	0x32DD99

Divisor Catalog (4)

1 83 40,163 3,333,529

Collatz Trajectory (177 steps to reach 1)

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

3,333,529 10,000,588 5,000,294 2,500,147 7,500,442 3,750,221 11,250,664 5,625,332 2,812,666 1,406,333 4,219,000 2,109,500 1,054,750 527,375 1,582,126 791,063 2,373,190 1,186,595 3,559,786 1,779,893 5,339,680 2,669,840 1,334,920 667,460 333,730 166,865 500,596 250,298 125,149 375,448 187,724 93,862 46,931 140,794 70,397 211,192 105,596 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524

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