λ
Sequence Observatory

7,643,724

22 × 3 × 11 × 79 × 733
Abundant Even Composite

Starting at 7,643,724, the Collatz iteration reaches 1 after 204 steps. The first transition is 3821862; the starting value is even with 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 79 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,729,920
Proper Divisor Sum 12,086,196
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7643717 ← → #7643731

Radix Representation

Decimal 7643724
Binary 11101001010001001001100 (23 bits)
Octal 0o35121114
Hexadecimal 0x74A24C

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (204 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.

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