6,308,328

2³ × 3 × 13 × 20219

Starting at 6,308,328, the Collatz iteration reaches 1 after 103 steps. The first transition is 3154164; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 20219

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,984,800

Proper Divisor Sum 10,676,472

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6308321 ← → #6308329

Radix Representation

Decimal	6308328
Binary	11000000100000111101000 (23 bits)
Octal	0o30040750
Hexadecimal	0x6041E8

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 20,219 40,438 60,657 80,876 121,314 161,752 242,628 262,847 485,256 525,694 788,541 1,051,388 1,577,082 2,102,776 3,154,164 6,308,328

Collatz Trajectory (103 steps to reach 1)

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

6,308,328 3,154,164 1,577,082 788,541 2,365,624 1,182,812 591,406 295,703 887,110 443,555 1,330,666 665,333 1,996,000 998,000 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114

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