λ
Sequence Observatory

7,748,615

5 × 72 × 31627
Deficient Odd Composite

Starting at 7,748,615, the Collatz iteration reaches 1 after 217 steps. The first transition is 23245846; the starting value is odd with 12 positive divisors.

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Prime Factor Structure

Factorization String 5 × 7^2 × 31627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,816,776
Proper Divisor Sum 3,068,161
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7748603 ← → #7748623

Radix Representation

Decimal 7748615
Binary 11101100011110000000111 (23 bits)
Octal 0o35436007
Hexadecimal 0x763C07

Divisor Catalog (5 of 12)

1 5 7 35 49

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.

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