λ
Harmonic Matrix

2,815,940

22 × 5 × 140797
Abundant Even Composite

2,815,940 has digital root 2. The neighboring primes are 2815937 and 2815963; its proper-divisor sum differs from the starting integer by 281,636.

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Prime Factor Structure

Factorization String 2^2 × 5 × 140797
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,913,516
Proper Divisor Sum 3,097,576
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2815937 ← → #2815963

Radix Representation

Decimal 2815940
Binary 1010101111011111000100 (22 bits)
Octal 0o12573704
Hexadecimal 0x2AF7C4

Divisor Catalog (5 of 12)

1 2 4 5 10

Collatz Trajectory (125 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.

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