6,652,284

2² × 3 × 83 × 6679

Starting at 6,652,284, the Collatz iteration reaches 1 after 139 steps. The first transition is 3326142; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 83 × 6679

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,711,360

Proper Divisor Sum 9,059,076

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6652279 ← → #6652301

Radix Representation

Decimal	6652284
Binary	11001011000000101111100 (23 bits)
Octal	0o31300574
Hexadecimal	0x65817C

Divisor Catalog (24)

1 2 3 4 6 12 83 166 249 332 498 996 6,679 13,358 20,037 26,716 40,074 80,148 554,357 1,108,714 1,663,071 2,217,428 3,326,142 6,652,284

Collatz Trajectory (139 steps to reach 1)

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

6,652,284 3,326,142 1,663,071 4,989,214 2,494,607 7,483,822 3,741,911 11,225,734 5,612,867 16,838,602 8,419,301 25,257,904 12,628,952 6,314,476 3,157,238 1,578,619 4,735,858 2,367,929 7,103,788 3,551,894 1,775,947 5,327,842 2,663,921 7,991,764 3,995,882 1,997,941 5,993,824 2,996,912 1,498,456 749,228 374,614 187,307 561,922 280,961 842,884 421,442 210,721 632,164 316,082 158,041 474,124 237,062 118,531 355,594 177,797 533,392 266,696 133,348 66,674 33,337 100,012 50,006 25,003 75,010 37,505 112,516 56,258 28,129 84,388 42,194

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