66,567

3 × 22189

Starting at 66,567, the Collatz iteration reaches 1 after 55 steps. The first transition is 199702; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 22189

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 88,760

Proper Divisor Sum 22,193

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #66553 ← → #66569

Radix Representation

Decimal	66567
Binary	10000010000000111 (17 bits)
Octal	0o202007
Hexadecimal	0x10407

Divisor Catalog (4)

1 3 22,189 66,567

Collatz Trajectory (55 steps to reach 1)

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

66,567 199,702 99,851 299,554 149,777 449,332 224,666 112,333 337,000 168,500 84,250 42,125 126,376 63,188 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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