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Atlas › Integer Profiles › Node 7,985,960

7,985,960

23 × 5 × 43 × 4643
Abundant Even Composite

7,985,960 factors as 2^3 × 5 × 43 × 4643. Its 32 positive divisors give a proper-divisor sum of 10,404,280, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 4643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,390,240
Proper Divisor Sum 10,404,280
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7985959 ← → #7985983

Radix Representation

Decimal 7985960
Binary 11110011101101100101000 (23 bits)
Octal 0o36355450
Hexadecimal 0x79DB28

Divisor Catalog (32)

1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1,720 4,643 9,286 18,572 23,215 37,144 46,430 92,860 185,720 199,649 399,298 798,596 998,245 1,597,192 1,996,490 3,992,980 7,985,960

Collatz Trajectory (217 steps to reach 1)

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

7,985,960 3,992,980 1,996,490 998,245 2,994,736 1,497,368 748,684 374,342 187,171 561,514 280,757 842,272 421,136 210,568 105,284 52,642 26,321 78,964 39,482 19,741 59,224 29,612 14,806 7,403 22,210 11,105 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446

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