λ
Sigma Notebook

7,778,538

2 × 33 × 283 × 509
Abundant Even Composite

7,778,538 is even and not a perfect square. Its factorization is 2 × 3^3 × 283 × 509 and its 32 divisors sum to 17,380,800.

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Prime Factor Structure

Factorization String 2 × 3^3 × 283 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,380,800
Proper Divisor Sum 9,602,262
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7778509 ← → #7778539

Radix Representation

Decimal 7778538
Binary 11101101011000011101010 (23 bits)
Octal 0o35530352
Hexadecimal 0x76B0EA

Divisor Catalog (5 of 32)

1 2 3 6 9

Collatz Trajectory (142 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.

7,778,538 3,889,269 11,667,808 5,833,904 2,916,952

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