3,566,583

3² × 17 × 23311

Starting at 3,566,583, the Collatz iteration reaches 1 after 172 steps. The first transition is 10699750; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 23311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,455,008

Proper Divisor Sum 1,888,425

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3566579 ← → #3566599

Radix Representation

Decimal	3566583
Binary	1101100110101111110111 (22 bits)
Octal	0o15465767
Hexadecimal	0x366BF7

Divisor Catalog (12)

1 3 9 17 51 153 23,311 69,933 209,799 396,287 1,188,861 3,566,583

Collatz Trajectory (172 steps to reach 1)

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

3,566,583 10,699,750 5,349,875 16,049,626 8,024,813 24,074,440 12,037,220 6,018,610 3,009,305 9,027,916 4,513,958 2,256,979 6,770,938 3,385,469 10,156,408 5,078,204 2,539,102 1,269,551 3,808,654 1,904,327 5,712,982 2,856,491 8,569,474 4,284,737 12,854,212 6,427,106 3,213,553 9,640,660 4,820,330 2,410,165 7,230,496 3,615,248 1,807,624 903,812 451,906 225,953 677,860 338,930 169,465 508,396 254,198 127,099 381,298 190,649 571,948 285,974 142,987 428,962 214,481 643,444 321,722 160,861 482,584 241,292 120,646 60,323 180,970 90,485 271,456 135,728

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