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Math Directory

7,010,038

2 × 72 × 233 × 307
Deficient Even Composite

7,010,038 factors as 2 × 7^2 × 233 × 307. Its 24 positive divisors give a proper-divisor sum of 5,314,274, so this integer is deficient. The Collatz stopping time is 222 steps.

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Prime Factor Structure

Factorization String 2 × 7^2 × 233 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,324,312
Proper Divisor Sum 5,314,274
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7010033 ← → #7010041

Radix Representation

Decimal 7010038
Binary 11010101111011011110110 (23 bits)
Octal 0o32573366
Hexadecimal 0x6AF6F6

Divisor Catalog (5 of 24)

1 2 7 14 49

Collatz Trajectory (222 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.

7,010,038 3,505,019 10,515,058 5,257,529 15,772,588

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