897,609

3 × 433 × 691

Starting at 897,609, the Collatz iteration reaches 1 after 157 steps. The first transition is 2692828; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 433 × 691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,201,312

Proper Divisor Sum 303,703

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #897607 ← → #897629

Radix Representation

Decimal	897609
Binary	11011011001001001001 (20 bits)
Octal	0o3331111
Hexadecimal	0xDB249

Divisor Catalog (8)

1 3 433 691 1,299 2,073 299,203 897,609

Collatz Trajectory (157 steps to reach 1)

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

897,609 2,692,828 1,346,414 673,207 2,019,622 1,009,811 3,029,434 1,514,717 4,544,152 2,272,076 1,136,038 568,019 1,704,058 852,029 2,556,088 1,278,044 639,022 319,511 958,534 479,267 1,437,802 718,901 2,156,704 1,078,352 539,176 269,588 134,794 67,397 202,192 101,096 50,548 25,274 12,637 37,912 18,956 9,478 4,739 14,218 7,109 21,328 10,664 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161

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