λ
Integer Codex

8,610,042

2 × 3 × 7 × 29 × 7069
Abundant Even Composite

For 8,610,042, the 32 positive divisors have a total of 20,361,600. Removing 8,610,042 leaves 11,751,558, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 7069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,361,600
Proper Divisor Sum 11,751,558
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8610001 ← → #8610061

Radix Representation

Decimal 8610042
Binary 100000110110000011111010 (24 bits)
Octal 0o40660372
Hexadecimal 0x8360FA

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (305 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.

8,610,042 4,305,021 12,915,064 6,457,532 3,228,766

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