7,980,942

2 × 3 × 1330157

Starting at 7,980,942, the Collatz iteration reaches 1 after 116 steps. The first transition is 3990471; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1330157

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,961,896

Proper Divisor Sum 7,980,954

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7980923 ← → #7980953

Radix Representation

Decimal	7980942
Binary	11110011100011110001110 (23 bits)
Octal	0o36343616
Hexadecimal	0x79C78E

Divisor Catalog (8)

1 2 3 6 1,330,157 2,660,314 3,990,471 7,980,942

Collatz Trajectory (116 steps to reach 1)

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

7,980,942 3,990,471 11,971,414 5,985,707 17,957,122 8,978,561 26,935,684 13,467,842 6,733,921 20,201,764 10,100,882 5,050,441 15,151,324 7,575,662 3,787,831 11,363,494 5,681,747 17,045,242 8,522,621 25,567,864 12,783,932 6,391,966 3,195,983 9,587,950 4,793,975 14,381,926 7,190,963 21,572,890 10,786,445 32,359,336 16,179,668 8,089,834 4,044,917 12,134,752 6,067,376 3,033,688 1,516,844 758,422 379,211 1,137,634 568,817 1,706,452 853,226 426,613 1,279,840 639,920 319,960 159,980 79,990 39,995 119,986 59,993 179,980 89,990 44,995 134,986 67,493 202,480 101,240 50,620

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