3,412,233

3³ × 11 × 11489

Starting at 3,412,233, the Collatz iteration reaches 1 after 252 steps. The first transition is 10236700; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 11 × 11489

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,515,200

Proper Divisor Sum 2,102,967

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3412207 ← → #3412271

Radix Representation

Decimal	3412233
Binary	1101000001000100001001 (22 bits)
Octal	0o15010411
Hexadecimal	0x341109

Divisor Catalog (16)

1 3 9 11 27 33 99 297 11,489 34,467 103,401 126,379 310,203 379,137 1,137,411 3,412,233

Collatz Trajectory (252 steps to reach 1)

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

3,412,233 10,236,700 5,118,350 2,559,175 7,677,526 3,838,763 11,516,290 5,758,145 17,274,436 8,637,218 4,318,609 12,955,828 6,477,914 3,238,957 9,716,872 4,858,436 2,429,218 1,214,609 3,643,828 1,821,914 910,957 2,732,872 1,366,436 683,218 341,609 1,024,828 512,414 256,207 768,622 384,311 1,152,934 576,467 1,729,402 864,701 2,594,104 1,297,052 648,526 324,263 972,790 486,395 1,459,186 729,593 2,188,780 1,094,390 547,195 1,641,586 820,793 2,462,380 1,231,190 615,595 1,846,786 923,393 2,770,180 1,385,090 692,545 2,077,636 1,038,818 519,409 1,558,228 779,114

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