λ
Sequence Observatory

7,782,396

22 × 3 × 17 × 38149
Abundant Even Composite

Starting at 7,782,396, the Collatz iteration reaches 1 after 292 steps. The first transition is 3891198; the starting value is even with 24 positive divisors.

Resources

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Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 38149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,227,600
Proper Divisor Sum 11,445,204
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7782377 ← → #7782403

Radix Representation

Decimal 7782396
Binary 11101101011111111111100 (23 bits)
Octal 0o35537774
Hexadecimal 0x76BFFC

Divisor Catalog (5 of 24)

1 2 3 4 6

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.

7,782,396 3,891,198 1,945,599 5,836,798 2,918,399

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