λ
Math Directory

7,005,952

28 × 27367
Deficient Even Composite

7,005,952 factors as 2^8 × 27367. Its 18 positive divisors give a proper-divisor sum of 6,979,096, so this integer is deficient. The Collatz stopping time is 152 steps.

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Prime Factor Structure

Factorization String 2^8 × 27367
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 13,985,048
Proper Divisor Sum 6,979,096
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7005941 ← → #7005953

Radix Representation

Decimal 7005952
Binary 11010101110011100000000 (23 bits)
Octal 0o32563400
Hexadecimal 0x6AE700

Divisor Catalog (5 of 18)

1 2 4 8 16

Collatz Trajectory (152 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.

7,005,952 3,502,976 1,751,488 875,744 437,872

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