6,779,316

2² × 3 × 229 × 2467

6,779,316 factors as 2^2 × 3 × 229 × 2467. Its 24 positive divisors give a proper-divisor sum of 9,114,604, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 229 × 2467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,893,920

Proper Divisor Sum 9,114,604

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6779303 ← → #6779321

Radix Representation

Decimal	6779316
Binary	11001110111000110110100 (23 bits)
Octal	0o31670664
Hexadecimal	0x6771B4

Divisor Catalog (24)

1 2 3 4 6 12 229 458 687 916 1,374 2,467 2,748 4,934 7,401 9,868 14,802 29,604 564,943 1,129,886 1,694,829 2,259,772 3,389,658 6,779,316

Collatz Trajectory (160 steps to reach 1)

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

6,779,316 3,389,658 1,694,829 5,084,488 2,542,244 1,271,122 635,561 1,906,684 953,342 476,671 1,430,014 715,007 2,145,022 1,072,511 3,217,534 1,608,767 4,826,302 2,413,151 7,239,454 3,619,727 10,859,182 5,429,591 16,288,774 8,144,387 24,433,162 12,216,581 36,649,744 18,324,872 9,162,436 4,581,218 2,290,609 6,871,828 3,435,914 1,717,957 5,153,872 2,576,936 1,288,468 644,234 322,117 966,352 483,176 241,588 120,794 60,397 181,192 90,596 45,298 22,649 67,948 33,974 16,987 50,962 25,481 76,444 38,222 19,111 57,334 28,667 86,002 43,001

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