λ
Harmonic Matrix

9,998,069

29 × 307 × 1123
Deficient Odd Composite

9,998,069 has digital root 5. The neighboring primes are 9998033 and 9998099; its proper-divisor sum differs from the starting integer by -9,610,378.

Prime Factor Structure

Factorization String 29 × 307 × 1123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,385,760
Proper Divisor Sum 387,691
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #9998033 ← → #9998099

Radix Representation

Decimal 9998069
Binary 100110001000111011110101 (24 bits)
Octal 0o46107365
Hexadecimal 0x988EF5

Divisor Catalog (8)

1 29 307 1,123 8,903 32,567 344,761 9,998,069

Collatz Trajectory (119 steps to reach 1)

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

9,998,069 29,994,208 14,997,104 7,498,552 3,749,276 1,874,638 937,319 2,811,958 1,405,979 4,217,938 2,108,969 6,326,908 3,163,454 1,581,727 4,745,182 2,372,591 7,117,774 3,558,887 10,676,662 5,338,331 16,014,994 8,007,497 24,022,492 12,011,246 6,005,623 18,016,870 9,008,435 27,025,306 13,512,653 40,537,960 20,268,980 10,134,490 5,067,245 15,201,736 7,600,868 3,800,434 1,900,217 5,700,652 2,850,326 1,425,163 4,275,490 2,137,745 6,413,236 3,206,618 1,603,309 4,809,928 2,404,964 1,202,482 601,241 1,803,724 901,862 450,931 1,352,794 676,397 2,029,192 1,014,596 507,298 253,649 760,948 380,474

More profiles

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