660,666

2 × 3 × 149 × 739

Starting at 660,666, the Collatz iteration reaches 1 after 154 steps. The first transition is 330333; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 149 × 739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,332,000

Proper Divisor Sum 671,334

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #660661 ← → #660683

Radix Representation

Decimal	660666
Binary	10100001010010111010 (20 bits)
Octal	0o2412272
Hexadecimal	0xA14BA

Divisor Catalog (16)

1 2 3 6 149 298 447 739 894 1,478 2,217 4,434 110,111 220,222 330,333 660,666

Collatz Trajectory (154 steps to reach 1)

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

660,666 330,333 991,000 495,500 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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