λ
Match Zalai

1,828,739

11 × 83 × 2003
Deficient Odd Composite

1,828,739 factors as 11 × 83 × 2003. Its 8 positive divisors give a proper-divisor sum of 191,293, so this integer is deficient. The Collatz stopping time is 109 steps.

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Prime Factor Structure

Factorization String 11 × 83 × 2003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,020,032
Proper Divisor Sum 191,293
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1828727 ← → #1828759

Radix Representation

Decimal 1828739
Binary 110111110011110000011 (21 bits)
Octal 0o6763603
Hexadecimal 0x1BE783

Divisor Catalog (5 of 8)

1 11 83 913 2,003

Collatz Trajectory (109 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.

1,828,739 5,486,218 2,743,109 8,229,328 4,114,664

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