λ
Math Directory

7,737,428

22 × 67 × 28871
Deficient Even Composite

7,737,428 factors as 2^2 × 67 × 28871. Its 12 positive divisors give a proper-divisor sum of 6,005,644, so this integer is deficient. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 2^2 × 67 × 28871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,743,072
Proper Divisor Sum 6,005,644
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7737419 ← → #7737451

Radix Representation

Decimal 7737428
Binary 11101100001000001010100 (23 bits)
Octal 0o35410124
Hexadecimal 0x761054

Divisor Catalog (5 of 12)

1 2 4 67 134

Collatz Trajectory (217 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.

7,737,428 3,868,714 1,934,357 5,803,072 2,901,536

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