λ
Prime Ledger

2,815,880

23 × 5 × 17 × 41 × 101
Abundant Even Composite

2,815,880 has the prime decomposition 2^3 × 5 × 17 × 41 × 101. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 41 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,940,080
Proper Divisor Sum 4,124,200
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2815877 ← → #2815889

Radix Representation

Decimal 2815880
Binary 1010101111011110001000 (22 bits)
Octal 0o12573610
Hexadecimal 0x2AF788

Divisor Catalog (5 of 64)

1 2 4 5 8

Collatz Trajectory (76 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.

2,815,880 1,407,940 703,970 351,985 1,055,956

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