λ
Harmonic Matrix

4,213,680

24 × 3 × 5 × 97 × 181
Abundant Even Composite

4,213,680 has digital root 6. The neighboring primes are 4213679 and 4213681; its proper-divisor sum differs from the starting integer by 4,842,624.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 97 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 13,269,984
Proper Divisor Sum 9,056,304
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4213679 ← → #4213681

Radix Representation

Decimal 4213680
Binary 10000000100101110110000 (23 bits)
Octal 0o20045660
Hexadecimal 0x404BB0

Divisor Catalog (5 of 80)

1 2 3 4 5

Collatz Trajectory (128 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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