8,309,578

2 × 23 × 43 × 4201

8,309,578 factors as 2 × 23 × 43 × 4201. Its 16 positive divisors give a proper-divisor sum of 5,002,358, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 23 × 43 × 4201

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,311,936

Proper Divisor Sum 5,002,358

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8309563 ← → #8309579

Radix Representation

Decimal	8309578
Binary	11111101100101101001010 (23 bits)
Octal	0o37545512
Hexadecimal	0x7ECB4A

Divisor Catalog (16)

1 2 23 43 46 86 989 1,978 4,201 8,402 96,623 180,643 193,246 361,286 4,154,789 8,309,578

Collatz Trajectory (199 steps to reach 1)

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

8,309,578 4,154,789 12,464,368 6,232,184 3,116,092 1,558,046 779,023 2,337,070 1,168,535 3,505,606 1,752,803 5,258,410 2,629,205 7,887,616 3,943,808 1,971,904 985,952 492,976 246,488 123,244 61,622 30,811 92,434 46,217 138,652 69,326 34,663 103,990 51,995 155,986 77,993 233,980 116,990 58,495 175,486 87,743 263,230 131,615 394,846 197,423 592,270 296,135 888,406 444,203 1,332,610 666,305 1,998,916 999,458 499,729 1,499,188 749,594 374,797 1,124,392 562,196 281,098 140,549 421,648 210,824 105,412 52,706

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