λ
Harmonic Matrix

2,998,104

23 × 3 × 53 × 2357
Abundant Even Composite

2,998,104 has digital root 6. The neighboring primes are 2998097 and 2998109; its proper-divisor sum differs from the starting integer by 1,643,712.

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Prime Factor Structure

Factorization String 2^3 × 3 × 53 × 2357
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,639,920
Proper Divisor Sum 4,641,816
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2998097 ← → #2998109

Radix Representation

Decimal 2998104
Binary 1011011011111101011000 (22 bits)
Octal 0o13337530
Hexadecimal 0x2DBF58

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (138 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.

2,998,104 1,499,052 749,526 374,763 1,124,290

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