λ
Harmonic Matrix

8,340,720

24 × 3 × 5 × 23 × 1511
Abundant Even Composite

8,340,720 has digital root 6. The neighboring primes are 8340691 and 8340721; its proper-divisor sum differs from the starting integer by 10,316,832.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 23 × 1511
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 26,998,272
Proper Divisor Sum 18,657,552
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8340691 ← → #8340721

Radix Representation

Decimal 8340720
Binary 11111110100010011110000 (23 bits)
Octal 0o37642360
Hexadecimal 0x7F44F0

Divisor Catalog (5 of 80)

1 2 3 4 5

Collatz Trajectory (155 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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