λ
Ratio Atlas

27,772,036

22 × 67 × 173 × 599
Deficient Even Composite

27,772,036 factors as 2^2 × 67 × 173 × 599. Its 24 positive divisors give a proper-divisor sum of 21,922,364, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 173 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 49,694,400
Proper Divisor Sum 21,922,364
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #27772027 ← → #27772079

Radix Representation

Decimal 27772036
Binary 1101001111100010010000100 (25 bits)
Octal 0o151742204
Hexadecimal 0x1A7C484

Divisor Catalog (24)

Collatz Trajectory (237 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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