λ
Harmonic Matrix

8,099,766

2 × 32 × 449987
Abundant Even Composite

8,099,766 has digital root 9. The neighboring primes are 8099761 and 8099771; its proper-divisor sum differs from the starting integer by 1,350,000.

Prime Factor Structure

Factorization String 2 × 3^2 × 449987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,549,532
Proper Divisor Sum 9,449,766
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8099761 ← → #8099771

Radix Representation

Decimal 8099766
Binary 11110111001011110110110 (23 bits)
Octal 0o36713666
Hexadecimal 0x7B97B6

Divisor Catalog (12)

1 2 3 6 9 18 449,987 899,974 1,349,961 2,699,922 4,049,883 8,099,766

Collatz Trajectory (199 steps to reach 1)

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

8,099,766 4,049,883 12,149,650 6,074,825 18,224,476 9,112,238 4,556,119 13,668,358 6,834,179 20,502,538 10,251,269 30,753,808 15,376,904 7,688,452 3,844,226 1,922,113 5,766,340 2,883,170 1,441,585 4,324,756 2,162,378 1,081,189 3,243,568 1,621,784 810,892 405,446 202,723 608,170 304,085 912,256 456,128 228,064 114,032 57,016 28,508 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

More profiles

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