λ
Harmonic Matrix

2,024,613

32 × 227 × 991
Deficient Odd Composite

2,024,613 has digital root 9. The neighboring primes are 2024611 and 2024639; its proper-divisor sum differs from the starting integer by -1,108,938.

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Prime Factor Structure

Factorization String 3^2 × 227 × 991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,940,288
Proper Divisor Sum 915,675
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2024611 ← → #2024639

Radix Representation

Decimal 2024613
Binary 111101110010010100101 (21 bits)
Octal 0o7562245
Hexadecimal 0x1EE4A5

Divisor Catalog (5 of 12)

1 3 9 227 681

Collatz Trajectory (215 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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