λ
Harmonic Matrix

4,309,982

2 × 37 × 58243
Deficient Even Composite

4,309,982 has digital root 8. The neighboring primes are 4309957 and 4310021; its proper-divisor sum differs from the starting integer by -1,980,148.

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Prime Factor Structure

Factorization String 2 × 37 × 58243
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,639,816
Proper Divisor Sum 2,329,834
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4309957 ← → #4310021

Radix Representation

Decimal 4309982
Binary 10000011100001111011110 (23 bits)
Octal 0o20341736
Hexadecimal 0x41C3DE

Divisor Catalog (5 of 8)

1 2 37 74 58,243

Collatz Trajectory (123 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.

4,309,982 2,154,991 6,464,974 3,232,487 9,697,462

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