8,190,801

3⁵ × 37 × 911

8,190,801 factors as 3^5 × 37 × 911. Its 24 positive divisors give a proper-divisor sum of 4,423,983, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3^5 × 37 × 911

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,614,784

Proper Divisor Sum 4,423,983

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8190761 ← → #8190823

Radix Representation

Decimal	8190801
Binary	11111001111101101010001 (23 bits)
Octal	0o37175521
Hexadecimal	0x7CFB51

Divisor Catalog (24)

Collatz Trajectory (199 steps to reach 1)

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

8,190,801 24,572,404 12,286,202 6,143,101 18,429,304 9,214,652 4,607,326 2,303,663 6,910,990 3,455,495 10,366,486 5,183,243 15,549,730 7,774,865 23,324,596 11,662,298 5,831,149 17,493,448 8,746,724 4,373,362 2,186,681 6,560,044 3,280,022 1,640,011 4,920,034 2,460,017 7,380,052 3,690,026 1,845,013 5,535,040 2,767,520 1,383,760 691,880 345,940 172,970 86,485 259,456 129,728 64,864 32,432 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666

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