λ
Harmonic Matrix

2,782,962

2 × 32 × 7 × 13 × 1699
Abundant Even Composite

2,782,962 has digital root 9. The neighboring primes are 2782939 and 2782973; its proper-divisor sum differs from the starting integer by 1,859,676.

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Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 1699
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,425,600
Proper Divisor Sum 4,642,638
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2782939 ← → #2782973

Radix Representation

Decimal 2782962
Binary 1010100111011011110010 (22 bits)
Octal 0o12473362
Hexadecimal 0x2A76F2

Divisor Catalog (5 of 48)

1 2 3 6 7

Collatz Trajectory (182 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.

2,782,962 1,391,481 4,174,444 2,087,222 1,043,611

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