λ
Prime Ledger

5,353,440

25 × 3 × 5 × 19 × 587
Abundant Even Composite

5,353,440 has the prime decomposition 2^5 × 3 × 5 × 19 × 587. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 19 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 17,781,120
Proper Divisor Sum 12,427,680
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5353433 ← → #5353463

Radix Representation

Decimal 5353440
Binary 10100011010111111100000 (23 bits)
Octal 0o24327740
Hexadecimal 0x51AFE0

Divisor Catalog (60 of 96)

Collatz Trajectory (69 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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