λ
Harmonic Matrix

2,977,425

33 × 52 × 11 × 401
Abundant Odd Composite

2,977,425 has digital root 9. The neighboring primes are 2977417 and 2977441; its proper-divisor sum differs from the starting integer by 26,910.

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Prime Factor Structure

Factorization String 3^3 × 5^2 × 11 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,981,760
Proper Divisor Sum 3,004,335
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2977417 ← → #2977441

Radix Representation

Decimal 2977425
Binary 1011010110111010010001 (22 bits)
Octal 0o13267221
Hexadecimal 0x2D6E91

Divisor Catalog (5 of 48)

1 3 5 9 11

Collatz Trajectory (120 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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