λ
Harmonic Matrix

2,948,976

24 × 32 × 20479
Abundant Even Composite

2,948,976 has digital root 9. The neighboring primes are 2948969 and 2948977; its proper-divisor sum differs from the starting integer by 2,355,488.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 20479
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 8,253,440
Proper Divisor Sum 5,304,464
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #2948969 ← → #2948977

Radix Representation

Decimal 2948976
Binary 1011001111111101110000 (22 bits)
Octal 0o13177560
Hexadecimal 0x2CFF70

Divisor Catalog (5 of 30)

1 2 3 4 6

Collatz Trajectory (169 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.

2,948,976 1,474,488 737,244 368,622 184,311

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