λ
Prime Ledger

4,836,720

24 × 3 × 5 × 7 × 2879
Abundant Even Composite

4,836,720 has the prime decomposition 2^4 × 3 × 5 × 7 × 2879. Its 5 distinct prime factors produce 80 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 2879
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 17,141,760
Proper Divisor Sum 12,305,040
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4836703 ← → #4836737

Radix Representation

Decimal 4836720
Binary 10010011100110101110000 (23 bits)
Octal 0o22346560
Hexadecimal 0x49CD70

Divisor Catalog (5 of 80)

1 2 3 4 5

Collatz Trajectory (69 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.

4,836,720 2,418,360 1,209,180 604,590 302,295

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