6,727,945

5 × 7³ × 3923

Starting at 6,727,945, the Collatz iteration reaches 1 after 253 steps. The first transition is 20183836; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^3 × 3923

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,417,600

Proper Divisor Sum 2,689,655

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6727943 ← → #6727949

Radix Representation

Decimal	6727945
Binary	11001101010100100001001 (23 bits)
Octal	0o31524411
Hexadecimal	0x66A909

Divisor Catalog (16)

1 5 7 35 49 245 343 1,715 3,923 19,615 27,461 137,305 192,227 961,135 1,345,589 6,727,945

Collatz Trajectory (253 steps to reach 1)

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

6,727,945 20,183,836 10,091,918 5,045,959 15,137,878 7,568,939 22,706,818 11,353,409 34,060,228 17,030,114 8,515,057 25,545,172 12,772,586 6,386,293 19,158,880 9,579,440 4,789,720 2,394,860 1,197,430 598,715 1,796,146 898,073 2,694,220 1,347,110 673,555 2,020,666 1,010,333 3,031,000 1,515,500 757,750 378,875 1,136,626 568,313 1,704,940 852,470 426,235 1,278,706 639,353 1,918,060 959,030 479,515 1,438,546 719,273 2,157,820 1,078,910 539,455 1,618,366 809,183 2,427,550 1,213,775 3,641,326 1,820,663 5,461,990 2,730,995 8,192,986 4,096,493 12,289,480 6,144,740 3,072,370 1,536,185

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