λ
Matchaa Zalai

7,000,311

3 × 17 × 317 × 433
Deficient Odd Composite

7,000,311 factors as 3 × 17 × 317 × 433. Its 16 positive divisors give a proper-divisor sum of 2,936,553, so this integer is deficient. The Collatz stopping time is 129 steps.

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Prime Factor Structure

Factorization String 3 × 17 × 317 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,936,864
Proper Divisor Sum 2,936,553
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #7000309 ← → #7000313

Radix Representation

Decimal 7000311
Binary 11010101101000011110111 (23 bits)
Octal 0o32550367
Hexadecimal 0x6AD0F7

Divisor Catalog (5 of 16)

1 3 17 51 317

Collatz Trajectory (129 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.

7,000,311 21,000,934 10,500,467 31,501,402 15,750,701

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