λ
Integer Codex

8,079,320

23 × 5 × 37 × 53 × 103
Abundant Even Composite

For 8,079,320, the 64 positive divisors have a total of 19,206,720. Removing 8,079,320 leaves 11,127,400, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 53 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,206,720
Proper Divisor Sum 11,127,400
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8079307 ← → #8079341

Radix Representation

Decimal 8079320
Binary 11110110100011111011000 (23 bits)
Octal 0o36643730
Hexadecimal 0x7B47D8

Divisor Catalog (5 of 64)

1 2 4 5 8

Collatz Trajectory (261 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.

8,079,320 4,039,660 2,019,830 1,009,915 3,029,746

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