4,298,733

3² × 477637

Starting at 4,298,733, the Collatz iteration reaches 1 after 154 steps. The first transition is 12896200; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 477637

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,209,294

Proper Divisor Sum 1,910,561

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4298729 ← → #4298759

Radix Representation

Decimal	4298733
Binary	10000011001011111101101 (23 bits)
Octal	0o20313755
Hexadecimal	0x4197ED

Divisor Catalog (6)

1 3 9 477,637 1,432,911 4,298,733

Collatz Trajectory (154 steps to reach 1)

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

4,298,733 12,896,200 6,448,100 3,224,050 1,612,025 4,836,076 2,418,038 1,209,019 3,627,058 1,813,529 5,440,588 2,720,294 1,360,147 4,080,442 2,040,221 6,120,664 3,060,332 1,530,166 765,083 2,295,250 1,147,625 3,442,876 1,721,438 860,719 2,582,158 1,291,079 3,873,238 1,936,619 5,809,858 2,904,929 8,714,788 4,357,394 2,178,697 6,536,092 3,268,046 1,634,023 4,902,070 2,451,035 7,353,106 3,676,553 11,029,660 5,514,830 2,757,415 8,272,246 4,136,123 12,408,370 6,204,185 18,612,556 9,306,278 4,653,139 13,959,418 6,979,709 20,939,128 10,469,564 5,234,782 2,617,391 7,852,174 3,926,087 11,778,262 5,889,131

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