7,714,842

2 × 3 × 263 × 4889

Starting at 7,714,842, the Collatz iteration reaches 1 after 186 steps. The first transition is 3857421; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 263 × 4889

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,491,520

Proper Divisor Sum 7,776,678

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7714801 ← → #7714843

Radix Representation

Decimal	7714842
Binary	11101011011100000011010 (23 bits)
Octal	0o35334032
Hexadecimal	0x75B81A

Divisor Catalog (16)

1 2 3 6 263 526 789 1,578 4,889 9,778 14,667 29,334 1,285,807 2,571,614 3,857,421 7,714,842

Collatz Trajectory (186 steps to reach 1)

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

7,714,842 3,857,421 11,572,264 5,786,132 2,893,066 1,446,533 4,339,600 2,169,800 1,084,900 542,450 271,225 813,676 406,838 203,419 610,258 305,129 915,388 457,694 228,847 686,542 343,271 1,029,814 514,907 1,544,722 772,361 2,317,084 1,158,542 579,271 1,737,814 868,907 2,606,722 1,303,361 3,910,084 1,955,042 977,521 2,932,564 1,466,282 733,141 2,199,424 1,099,712 549,856 274,928 137,464 68,732 34,366 17,183 51,550 25,775 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868 48,934

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