λ
Math Directory

2,707,317

33 × 100271
Deficient Odd Composite

2,707,317 factors as 3^3 × 100271. Its 8 positive divisors give a proper-divisor sum of 1,303,563, so this integer is deficient. The Collatz stopping time is 86 steps.

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Prime Factor Structure

Factorization String 3^3 × 100271
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,010,880
Proper Divisor Sum 1,303,563
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2707297 ← → #2707319

Radix Representation

Decimal 2707317
Binary 1010010100111101110101 (22 bits)
Octal 0o12247565
Hexadecimal 0x294F75

Divisor Catalog (5 of 8)

1 3 9 27 100,271

Collatz Trajectory (86 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.

2,707,317 8,121,952 4,060,976 2,030,488 1,015,244

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