621,609

3 × 383 × 541

Starting at 621,609, the Collatz iteration reaches 1 after 309 steps. The first transition is 1864828; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 383 × 541

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 832,512

Proper Divisor Sum 210,903

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #621583 ← → #621611

Radix Representation

Decimal	621609
Binary	10010111110000101001 (20 bits)
Octal	0o2276051
Hexadecimal	0x97C29

Divisor Catalog (8)

1 3 383 541 1,149 1,623 207,203 621,609

Collatz Trajectory (309 steps to reach 1)

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

621,609 1,864,828 932,414 466,207 1,398,622 699,311 2,097,934 1,048,967 3,146,902 1,573,451 4,720,354 2,360,177 7,080,532 3,540,266 1,770,133 5,310,400 2,655,200 1,327,600 663,800 331,900 165,950 82,975 248,926 124,463 373,390 186,695 560,086 280,043 840,130 420,065 1,260,196 630,098 315,049 945,148 472,574 236,287 708,862 354,431 1,063,294 531,647 1,594,942 797,471 2,392,414 1,196,207 3,588,622 1,794,311 5,382,934 2,691,467 8,074,402 4,037,201 12,111,604 6,055,802 3,027,901 9,083,704 4,541,852 2,270,926 1,135,463 3,406,390 1,703,195 5,109,586

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