λ
Harmonic Matrix

3,830,982

2 × 3 × 103 × 6199
Abundant Even Composite

3,830,982 has digital root 6. The neighboring primes are 3830977 and 3831007; its proper-divisor sum differs from the starting integer by 75,636.

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Prime Factor Structure

Factorization String 2 × 3 × 103 × 6199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,737,600
Proper Divisor Sum 3,906,618
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3830977 ← → #3831007

Radix Representation

Decimal 3830982
Binary 1110100111010011000110 (22 bits)
Octal 0o16472306
Hexadecimal 0x3A74C6

Divisor Catalog (5 of 16)

1 2 3 6 103

Collatz Trajectory (79 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.

3,830,982 1,915,491 5,746,474 2,873,237 8,619,712

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