λ
Math Directory

4,144,527

34 × 19 × 2693
Deficient Odd Composite

4,144,527 factors as 3^4 × 19 × 2693. Its 20 positive divisors give a proper-divisor sum of 2,374,953, so this integer is deficient. The Collatz stopping time is 105 steps.

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Prime Factor Structure

Factorization String 3^4 × 19 × 2693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,519,480
Proper Divisor Sum 2,374,953
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4144487 ← → #4144537

Radix Representation

Decimal 4144527
Binary 1111110011110110001111 (22 bits)
Octal 0o17636617
Hexadecimal 0x3F3D8F

Divisor Catalog (5 of 20)

1 3 9 19 27

Collatz Trajectory (105 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.

4,144,527 12,433,582 6,216,791 18,650,374 9,325,187

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