λ
Integer Codex

2,824,716

22 × 3 × 29 × 8117
Abundant Even Composite

For 2,824,716, the 24 positive divisors have a total of 6,819,120. Removing 2,824,716 leaves 3,994,404, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 8117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,819,120
Proper Divisor Sum 3,994,404
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2824709 ← → #2824721

Radix Representation

Decimal 2824716
Binary 1010110001101000001100 (22 bits)
Octal 0o12615014
Hexadecimal 0x2B1A0C

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (107 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.

2,824,716 1,412,358 706,179 2,118,538 1,059,269

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