λ
Harmonic Matrix

8,006,153

31 × 271 × 953
Deficient Odd Composite

8,006,153 has digital root 5. The neighboring primes are 8006149 and 8006177; its proper-divisor sum differs from the starting integer by -7,708,690.

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Prime Factor Structure

Factorization String 31 × 271 × 953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,303,616
Proper Divisor Sum 297,463
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8006149 ← → #8006177

Radix Representation

Decimal 8006153
Binary 11110100010101000001001 (23 bits)
Octal 0o36425011
Hexadecimal 0x7A2A09

Divisor Catalog (5 of 8)

1 31 271 953 8,401

Collatz Trajectory (98 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,006,153 24,018,460 12,009,230 6,004,615 18,013,846

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