λ
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8,309,960

23 × 5 × 83 × 2503
Abundant Even Composite

8,309,960 factors as 2^3 × 5 × 83 × 2503. Its 32 positive divisors give a proper-divisor sum of 10,620,280, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 83 × 2503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,930,240
Proper Divisor Sum 10,620,280
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8309909 ← → #8309963

Radix Representation

Decimal 8309960
Binary 11111101100110011001000 (23 bits)
Octal 0o37546310
Hexadecimal 0x7ECCC8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 83 166 332 415 664 830 1,660 2,503 3,320 5,006 10,012 12,515 20,024 25,030 50,060 100,120 207,749 415,498 830,996 1,038,745 1,661,992 2,077,490 4,154,980 8,309,960

Collatz Trajectory (80 steps to reach 1)

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

8,309,960 4,154,980 2,077,490 1,038,745 3,116,236 1,558,118 779,059 2,337,178 1,168,589 3,505,768 1,752,884 876,442 438,221 1,314,664 657,332 328,666 164,333 493,000 246,500 123,250 61,625 184,876 92,438 46,219 138,658 69,329 207,988 103,994 51,997 155,992 77,996 38,998 19,499 58,498 29,249 87,748 43,874 21,937 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245

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