λ
Math Directory

7,940,924

22 × 71 × 27961
Deficient Even Composite

7,940,924 factors as 2^2 × 71 × 27961. Its 12 positive divisors give a proper-divisor sum of 6,151,924, so this integer is deficient. The Collatz stopping time is 292 steps.

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Prime Factor Structure

Factorization String 2^2 × 71 × 27961
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,092,848
Proper Divisor Sum 6,151,924
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7940893 ← → #7940927

Radix Representation

Decimal 7940924
Binary 11110010010101100111100 (23 bits)
Octal 0o36225474
Hexadecimal 0x792B3C

Divisor Catalog (5 of 12)

1 2 4 71 142

Collatz Trajectory (292 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.

7,940,924 3,970,462 1,985,231 5,955,694 2,977,847

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