λ
Harmonic Matrix

3,004,096

26 × 73 × 643
Abundant Even Composite

3,004,096 has digital root 4. The neighboring primes are 3004091 and 3004097; its proper-divisor sum differs from the starting integer by 44,120.

Prime Factor Structure

Factorization String 2^6 × 73 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 6,052,312
Proper Divisor Sum 3,048,216
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3004091 ← → #3004097

Radix Representation

Decimal 3004096
Binary 1011011101011011000000 (22 bits)
Octal 0o13353300
Hexadecimal 0x2DD6C0

Divisor Catalog (28)

Collatz Trajectory (164 steps to reach 1)

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

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