8,091,213

3 × 13² × 15959

For 8,091,213, the 12 positive divisors have a total of 11,682,720. Removing 8,091,213 leaves 3,591,507, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13^2 × 15959

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,682,720

Proper Divisor Sum 3,591,507

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8091173 ← → #8091221

Radix Representation

Decimal	8091213
Binary	11110110111011001001101 (23 bits)
Octal	0o36673115
Hexadecimal	0x7B764D

Divisor Catalog (12)

1 3 13 39 169 507 15,959 47,877 207,467 622,401 2,697,071 8,091,213

Collatz Trajectory (85 steps to reach 1)

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

8,091,213 24,273,640 12,136,820 6,068,410 3,034,205 9,102,616 4,551,308 2,275,654 1,137,827 3,413,482 1,706,741 5,120,224 2,560,112 1,280,056 640,028 320,014 160,007 480,022 240,011 720,034 360,017 1,080,052 540,026 270,013 810,040 405,020 202,510 101,255 303,766 151,883 455,650 227,825 683,476 341,738 170,869 512,608 256,304 128,152 64,076 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426

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