8,002,521

3² × 29 × 30661

8,002,521 factors as 3^2 × 29 × 30661. Its 12 positive divisors give a proper-divisor sum of 3,955,659, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 30661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,958,180

Proper Divisor Sum 3,955,659

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8002517 ← → #8002543

Radix Representation

Decimal	8002521
Binary	11110100001101111011001 (23 bits)
Octal	0o36415731
Hexadecimal	0x7A1BD9

Divisor Catalog (12)

1 3 9 29 87 261 30,661 91,983 275,949 889,169 2,667,507 8,002,521

Collatz Trajectory (142 steps to reach 1)

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

8,002,521 24,007,564 12,003,782 6,001,891 18,005,674 9,002,837 27,008,512 13,504,256 6,752,128 3,376,064 1,688,032 844,016 422,008 211,004 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476

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