λ
Match Zalai

3,731,733

32 × 19 × 139 × 157
Deficient Odd Composite

3,731,733 factors as 3^2 × 19 × 139 × 157. Its 24 positive divisors give a proper-divisor sum of 2,019,467, so this integer is deficient. The Collatz stopping time is 128 steps.

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Prime Factor Structure

Factorization String 3^2 × 19 × 139 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,751,200
Proper Divisor Sum 2,019,467
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3731731 ← → #3731737

Radix Representation

Decimal 3731733
Binary 1110001111000100010101 (22 bits)
Octal 0o16170425
Hexadecimal 0x38F115

Divisor Catalog (5 of 24)

1 3 9 19 57

Collatz Trajectory (128 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.

3,731,733 11,195,200 5,597,600 2,798,800 1,399,400

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