λ
Prime Ledger

6,727,794

2 × 3 × 113 × 9923
Abundant Even Composite

6,727,794 has the prime decomposition 2 × 3 × 113 × 9923. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 113 × 9923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,576,032
Proper Divisor Sum 6,848,238
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6727793 ← → #6727811

Radix Representation

Decimal 6727794
Binary 11001101010100001110010 (23 bits)
Octal 0o31524162
Hexadecimal 0x66A872

Divisor Catalog (16)

1 2 3 6 113 226 339 678 9,923 19,846 29,769 59,538 1,121,299 2,242,598 3,363,897 6,727,794

Collatz Trajectory (209 steps to reach 1)

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

6,727,794 3,363,897 10,091,692 5,045,846 2,522,923 7,568,770 3,784,385 11,353,156 5,676,578 2,838,289 8,514,868 4,257,434 2,128,717 6,386,152 3,193,076 1,596,538 798,269 2,394,808 1,197,404 598,702 299,351 898,054 449,027 1,347,082 673,541 2,020,624 1,010,312 505,156 252,578 126,289 378,868 189,434 94,717 284,152 142,076 71,038 35,519 106,558 53,279 159,838 79,919 239,758 119,879 359,638 179,819 539,458 269,729 809,188 404,594 202,297 606,892 303,446 151,723 455,170 227,585 682,756 341,378 170,689 512,068 256,034

More profiles

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