λ
Matchaa Zalai

2,080,215

33 × 5 × 19 × 811
Deficient Odd Composite

2,080,215 factors as 3^3 × 5 × 19 × 811. Its 32 positive divisors give a proper-divisor sum of 1,817,385, so this integer is deficient. The Collatz stopping time is 78 steps.

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Prime Factor Structure

Factorization String 3^3 × 5 × 19 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,897,600
Proper Divisor Sum 1,817,385
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2080213 ← → #2080219

Radix Representation

Decimal 2080215
Binary 111111011110111010111 (21 bits)
Octal 0o7736727
Hexadecimal 0x1FBDD7

Divisor Catalog (5 of 32)

1 3 5 9 15

Collatz Trajectory (78 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.

2,080,215 6,240,646 3,120,323 9,360,970 4,680,485

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