λ
Ratio Atlas

8,097,879

3 × 911 × 2963
Deficient Odd Composite

8,097,879 factors as 3 × 911 × 2963. Its 8 positive divisors give a proper-divisor sum of 2,714,793, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3 × 911 × 2963
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,812,672
Proper Divisor Sum 2,714,793
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8097871 ← → #8097893

Radix Representation

Decimal 8097879
Binary 11110111001000001010111 (23 bits)
Octal 0o36710127
Hexadecimal 0x7B9057

Divisor Catalog (8)

1 3 911 2,733 2,963 8,889 2,699,293 8,097,879

Collatz Trajectory (85 steps to reach 1)

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

8,097,879 24,293,638 12,146,819 36,440,458 18,220,229 54,660,688 27,330,344 13,665,172 6,832,586 3,416,293 10,248,880 5,124,440 2,562,220 1,281,110 640,555 1,921,666 960,833 2,882,500 1,441,250 720,625 2,161,876 1,080,938 540,469 1,621,408 810,704 405,352 202,676 101,338 50,669 152,008 76,004 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427

More profiles

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