λ
Prime Ledger

2,240,840

23 × 5 × 7 × 53 × 151
Abundant Even Composite

2,240,840 has the prime decomposition 2^3 × 5 × 7 × 53 × 151. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 53 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,909,760
Proper Divisor Sum 3,668,920
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2240839 ← → #2240851

Radix Representation

Decimal 2240840
Binary 1000100011000101001000 (22 bits)
Octal 0o10430510
Hexadecimal 0x223148

Divisor Catalog (5 of 64)

1 2 4 5 7

Collatz Trajectory (161 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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