λ
Ratio Atlas

37,811

37811
Deficient Odd Prime

37,811 factors as 37811. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 37811
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 37,812
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #37799 ← → #37813

Radix Representation

Decimal 37811
Binary 1001001110110011 (16 bits)
Octal 0o111663
Hexadecimal 0x93B3

Divisor Catalog (2)

Collatz Trajectory (62 steps to reach 1)

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

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