λ
Harmonic Matrix

8,337,465

33 × 5 × 151 × 409
Deficient Odd Composite

8,337,465 has digital root 9. The neighboring primes are 8337457 and 8337491; its proper-divisor sum differs from the starting integer by -1,718,130.

Prime Factor Structure

Factorization String 3^3 × 5 × 151 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,956,800
Proper Divisor Sum 6,619,335
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8337457 ← → #8337491

Radix Representation

Decimal 8337465
Binary 11111110011100000111001 (23 bits)
Octal 0o37634071
Hexadecimal 0x7F3839

Divisor Catalog (32)

Collatz Trajectory (80 steps to reach 1)

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

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