λ
Math Directory

7,712,926

2 × 13 × 296651
Deficient Even Composite

7,712,926 factors as 2 × 13 × 296651. Its 8 positive divisors give a proper-divisor sum of 4,746,458, so this integer is deficient. The Collatz stopping time is 80 steps.

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Prime Factor Structure

Factorization String 2 × 13 × 296651
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,459,384
Proper Divisor Sum 4,746,458
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7712923 ← → #7712933

Radix Representation

Decimal 7712926
Binary 11101011011000010011110 (23 bits)
Octal 0o35330236
Hexadecimal 0x75B09E

Divisor Catalog (5 of 8)

1 2 13 26 296,651

Collatz Trajectory (80 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.

7,712,926 3,856,463 11,569,390 5,784,695 17,354,086

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