λ
Harmonic Matrix

4,009,980

22 × 3 × 5 × 13 × 53 × 97
Abundant Even Composite

4,009,980 has digital root 3. The neighboring primes are 4009939 and 4009991; its proper-divisor sum differs from the starting integer by 4,426,824.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 53 × 97
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 12,446,784
Proper Divisor Sum 8,436,804
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4009939 ← → #4009991

Radix Representation

Decimal 4009980
Binary 1111010010111111111100 (22 bits)
Octal 0o17227774
Hexadecimal 0x3D2FFC

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (167 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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