λ
Harmonic Matrix

1,005,354

2 × 32 × 7 × 79 × 101
Abundant Even Composite

1,005,354 has digital root 9. The neighboring primes are 1005349 and 1005359; its proper-divisor sum differs from the starting integer by 535,212.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 79 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,545,920
Proper Divisor Sum 1,540,566
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1005349 ← → #1005359

Radix Representation

Decimal 1005354
Binary 11110101011100101010 (20 bits)
Octal 0o3653452
Hexadecimal 0xF572A

Divisor Catalog (48)

Collatz Trajectory (108 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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