λ
Prime Ledger

5,421,640

23 × 5 × 7 × 172 × 67
Abundant Even Composite

5,421,640 has the prime decomposition 2^3 × 5 × 7 × 17^2 × 67. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17^2 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 15,030,720
Proper Divisor Sum 9,609,080
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5421607 ← → #5421641

Radix Representation

Decimal 5421640
Binary 10100101011101001001000 (23 bits)
Octal 0o24535110
Hexadecimal 0x52BA48

Divisor Catalog (60 of 96)

Collatz Trajectory (87 steps to reach 1)

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

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