3,927,799

17² × 13591

Starting at 3,927,799, the Collatz iteration reaches 1 after 154 steps. The first transition is 11783398; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 17^2 × 13591

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,172,744

Proper Divisor Sum 244,945

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #3927769 ← → #3927823

Radix Representation

Decimal	3927799
Binary	1110111110111011110111 (22 bits)
Octal	0o16767367
Hexadecimal	0x3BEEF7

Divisor Catalog (6)

1 17 289 13,591 231,047 3,927,799

Collatz Trajectory (154 steps to reach 1)

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

3,927,799 11,783,398 5,891,699 17,675,098 8,837,549 26,512,648 13,256,324 6,628,162 3,314,081 9,942,244 4,971,122 2,485,561 7,456,684 3,728,342 1,864,171 5,592,514 2,796,257 8,388,772 4,194,386 2,097,193 6,291,580 3,145,790 1,572,895 4,718,686 2,359,343 7,078,030 3,539,015 10,617,046 5,308,523 15,925,570 7,962,785 23,888,356 11,944,178 5,972,089 17,916,268 8,958,134 4,479,067 13,437,202 6,718,601 20,155,804 10,077,902 5,038,951 15,116,854 7,558,427 22,675,282 11,337,641 34,012,924 17,006,462 8,503,231 25,509,694 12,754,847 38,264,542 19,132,271 57,396,814 28,698,407 86,095,222 43,047,611 129,142,834 64,571,417 193,714,252

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