λ
Harmonic Matrix

2,047,724

22 × 7 × 73133
Abundant Even Composite

2,047,724 has digital root 8. The neighboring primes are 2047699 and 2047729; its proper-divisor sum differs from the starting integer by 56.

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Prime Factor Structure

Factorization String 2^2 × 7 × 73133
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,095,504
Proper Divisor Sum 2,047,780
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2047699 ← → #2047729

Radix Representation

Decimal 2047724
Binary 111110011111011101100 (21 bits)
Octal 0o7637354
Hexadecimal 0x1F3EEC

Divisor Catalog (5 of 12)

1 2 4 7 14

Collatz Trajectory (197 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.

2,047,724 1,023,862 511,931 1,535,794 767,897

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