λ
Prime Ledger

5,310,336

27 × 3 × 13829
Abundant Even Composite

5,310,336 has the prime decomposition 2^7 × 3 × 13829. Its 3 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^7 × 3 × 13829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,106,600
Proper Divisor Sum 8,796,264
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5310317 ← → #5310343

Radix Representation

Decimal 5310336
Binary 10100010000011110000000 (23 bits)
Octal 0o24203600
Hexadecimal 0x510780

Divisor Catalog (5 of 32)

1 2 3 4 6

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.

5,310,336 2,655,168 1,327,584 663,792 331,896

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