λ
Ratio Atlas

2,788,071

3 × 11 × 13 × 67 × 97
Deficient Odd Composite

2,788,071 factors as 3 × 11 × 13 × 67 × 97. Its 32 positive divisors give a proper-divisor sum of 1,690,137, so this integer is deficient. The Collatz stopping time is 182 steps.

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Prime Factor Structure

Factorization String 3 × 11 × 13 × 67 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,478,208
Proper Divisor Sum 1,690,137
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2788069 ← → #2788081

Radix Representation

Decimal 2788071
Binary 1010101000101011100111 (22 bits)
Octal 0o12505347
Hexadecimal 0x2A8AE7

Divisor Catalog (5 of 32)

1 3 11 13 33

Collatz Trajectory (182 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.

2,788,071 8,364,214 4,182,107 12,546,322 6,273,161

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