λ
Harmonic Matrix

1,984,840

23 × 5 × 11 × 13 × 347
Abundant Even Composite

1,984,840 has digital root 7. The neighboring primes are 1984817 and 1984841; its proper-divisor sum differs from the starting integer by 1,292,080.

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Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 13 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,261,760
Proper Divisor Sum 3,276,920
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1984817 ← → #1984841

Radix Representation

Decimal 1984840
Binary 111100100100101001000 (21 bits)
Octal 0o7444510
Hexadecimal 0x1E4948

Divisor Catalog (5 of 64)

1 2 4 5 8

Collatz Trajectory (166 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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