λ
Harmonic Matrix

2,949,294

2 × 3 × 19 × 41 × 631
Abundant Even Composite

2,949,294 has digital root 3. The neighboring primes are 2949283 and 2949319; its proper-divisor sum differs from the starting integer by 471,972.

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Prime Factor Structure

Factorization String 2 × 3 × 19 × 41 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,370,560
Proper Divisor Sum 3,421,266
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2949283 ← → #2949319

Radix Representation

Decimal 2949294
Binary 1011010000000010101110 (22 bits)
Octal 0o13200256
Hexadecimal 0x2D00AE

Divisor Catalog (5 of 32)

1 2 3 6 19

Collatz Trajectory (244 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.

2,949,294 1,474,647 4,423,942 2,211,971 6,635,914

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