6,656,666

2 × 89 × 37397

Starting at 6,656,666, the Collatz iteration reaches 1 after 209 steps. The first transition is 3328333; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 89 × 37397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,097,460

Proper Divisor Sum 3,440,794

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6656659 ← → #6656711

Radix Representation

Decimal	6656666
Binary	11001011001001010011010 (23 bits)
Octal	0o31311232
Hexadecimal	0x65929A

Divisor Catalog (8)

1 2 89 178 37,397 74,794 3,328,333 6,656,666

Collatz Trajectory (209 steps to reach 1)

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

6,656,666 3,328,333 9,985,000 4,992,500 2,496,250 1,248,125 3,744,376 1,872,188 936,094 468,047 1,404,142 702,071 2,106,214 1,053,107 3,159,322 1,579,661 4,738,984 2,369,492 1,184,746 592,373 1,777,120 888,560 444,280 222,140 111,070 55,535 166,606 83,303 249,910 124,955 374,866 187,433 562,300 281,150 140,575 421,726 210,863 632,590 316,295 948,886 474,443 1,423,330 711,665 2,134,996 1,067,498 533,749 1,601,248 800,624 400,312 200,156 100,078 50,039 150,118 75,059 225,178 112,589 337,768 168,884 84,442 42,221

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