λ
Match Zalai

3,009,335

5 × 72 × 71 × 173
Deficient Odd Composite

3,009,335 factors as 5 × 7^2 × 71 × 173. Its 24 positive divisors give a proper-divisor sum of 1,275,241, so this integer is deficient. The Collatz stopping time is 112 steps.

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Prime Factor Structure

Factorization String 5 × 7^2 × 71 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,284,576
Proper Divisor Sum 1,275,241
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3009329 ← → #3009337

Radix Representation

Decimal 3009335
Binary 1011011110101100110111 (22 bits)
Octal 0o13365467
Hexadecimal 0x2DEB37

Divisor Catalog (5 of 24)

1 5 7 35 49

Collatz Trajectory (112 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.

3,009,335 9,028,006 4,514,003 13,542,010 6,771,005

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