λ
Integer Codex

8,240,520

23 × 3 × 5 × 43 × 1597
Abundant Even Composite

For 8,240,520, the 64 positive divisors have a total of 25,312,320. Removing 8,240,520 leaves 17,071,800, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 43 × 1597
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,312,320
Proper Divisor Sum 17,071,800
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8240501 ← → #8240537

Radix Representation

Decimal 8240520
Binary 11111011011110110001000 (23 bits)
Octal 0o37336610
Hexadecimal 0x7DBD88

Divisor Catalog (5 of 64)

1 2 3 4 5

Collatz Trajectory (54 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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