λ
Math Directory

3,700,301

112 × 53 × 577
Deficient Odd Composite

3,700,301 factors as 11^2 × 53 × 577. Its 12 positive divisors give a proper-divisor sum of 450,895, so this integer is deficient. The Collatz stopping time is 79 steps.

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Prime Factor Structure

Factorization String 11^2 × 53 × 577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,151,196
Proper Divisor Sum 450,895
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3700289 ← → #3700349

Radix Representation

Decimal 3700301
Binary 1110000111011001001101 (22 bits)
Octal 0o16073115
Hexadecimal 0x38764D

Divisor Catalog (5 of 12)

1 11 53 121 577

Collatz Trajectory (79 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.

3,700,301 11,100,904 5,550,452 2,775,226 1,387,613

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