λ
Harmonic Matrix

2,972,978

2 × 433 × 3433
Deficient Even Composite

2,972,978 has digital root 8. The neighboring primes are 2972971 and 2973001; its proper-divisor sum differs from the starting integer by -1,474,888.

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Prime Factor Structure

Factorization String 2 × 433 × 3433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,471,068
Proper Divisor Sum 1,498,090
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #2972971 ← → #2973001

Radix Representation

Decimal 2972978
Binary 1011010101110100110010 (22 bits)
Octal 0o13256462
Hexadecimal 0x2D5D32

Divisor Catalog (5 of 8)

Collatz Trajectory (288 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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