7,987,966

2 × 7 × 570569

Starting at 7,987,966, the Collatz iteration reaches 1 after 168 steps. The first transition is 3993983; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 570569

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,693,680

Proper Divisor Sum 5,705,714

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #7987957 ← → #7988009

Radix Representation

Decimal	7987966
Binary	11110011110001011111110 (23 bits)
Octal	0o36361376
Hexadecimal	0x79E2FE

Divisor Catalog (8)

1 2 7 14 570,569 1,141,138 3,993,983 7,987,966

Collatz Trajectory (168 steps to reach 1)

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

7,987,966 3,993,983 11,981,950 5,990,975 17,972,926 8,986,463 26,959,390 13,479,695 40,439,086 20,219,543 60,658,630 30,329,315 90,987,946 45,493,973 136,481,920 68,240,960 34,120,480 17,060,240 8,530,120 4,265,060 2,132,530 1,066,265 3,198,796 1,599,398 799,699 2,399,098 1,199,549 3,598,648 1,799,324 899,662 449,831 1,349,494 674,747 2,024,242 1,012,121 3,036,364 1,518,182 759,091 2,277,274 1,138,637 3,415,912 1,707,956 853,978 426,989 1,280,968 640,484 320,242 160,121 480,364 240,182 120,091 360,274 180,137 540,412 270,206 135,103 405,310 202,655 607,966 303,983

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