λ
Harmonic Matrix

2,046,340

22 × 5 × 102317
Abundant Even Composite

2,046,340 has digital root 1. The neighboring primes are 2046323 and 2046349; its proper-divisor sum differs from the starting integer by 204,676.

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Prime Factor Structure

Factorization String 2^2 × 5 × 102317
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,297,356
Proper Divisor Sum 2,251,016
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2046323 ← → #2046349

Radix Representation

Decimal 2046340
Binary 111110011100110000100 (21 bits)
Octal 0o7634604
Hexadecimal 0x1F3984

Divisor Catalog (5 of 12)

1 2 4 5 10

Collatz Trajectory (228 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.

2,046,340 1,023,170 511,585 1,534,756 767,378

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