λ
Matchaa Zalai

3,701,993

113 × 1812
Deficient Odd Composite

3,701,993 factors as 113 × 181^2. Its 6 positive divisors give a proper-divisor sum of 53,509, so this integer is deficient. The Collatz stopping time is 203 steps.

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Prime Factor Structure

Factorization String 113 × 181^2
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,755,502
Proper Divisor Sum 53,509
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3701983 ← → #3702007

Radix Representation

Decimal 3701993
Binary 1110000111110011101001 (22 bits)
Octal 0o16076351
Hexadecimal 0x387CE9

Divisor Catalog (5 of 6)

1 113 181 20,453 32,761

Collatz Trajectory (203 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.

3,701,993 11,105,980 5,552,990 2,776,495 8,329,486

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