7,980,972

2² × 3 × 43 × 15467

7,980,972 factors as 2^2 × 3 × 43 × 15467. Its 24 positive divisors give a proper-divisor sum of 11,075,604, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 15467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,056,576

Proper Divisor Sum 11,075,604

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7980953 ← → #7980983

Radix Representation

Decimal	7980972
Binary	11110011100011110101100 (23 bits)
Octal	0o36343654
Hexadecimal	0x79C7AC

Divisor Catalog (24)

1 2 3 4 6 12 43 86 129 172 258 516 15,467 30,934 46,401 61,868 92,802 185,604 665,081 1,330,162 1,995,243 2,660,324 3,990,486 7,980,972

Collatz Trajectory (116 steps to reach 1)

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

7,980,972 3,990,486 1,995,243 5,985,730 2,992,865 8,978,596 4,489,298 2,244,649 6,733,948 3,366,974 1,683,487 5,050,462 2,525,231 7,575,694 3,787,847 11,363,542 5,681,771 17,045,314 8,522,657 25,567,972 12,783,986 6,391,993 19,175,980 9,587,990 4,793,995 14,381,986 7,190,993 21,572,980 10,786,490 5,393,245 16,179,736 8,089,868 4,044,934 2,022,467 6,067,402 3,033,701 9,101,104 4,550,552 2,275,276 1,137,638 568,819 1,706,458 853,229 2,559,688 1,279,844 639,922 319,961 959,884 479,942 239,971 719,914 359,957 1,079,872 539,936 269,968 134,984 67,492 33,746 16,873 50,620

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