λ
Sequence Observatory

7,678,163

53 × 277 × 523
Deficient Odd Composite

Starting at 7,678,163, the Collatz iteration reaches 1 after 279 steps. The first transition is 23034490; the starting value is odd with 8 positive divisors.

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Prime Factor Structure

Factorization String 53 × 277 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,866,288
Proper Divisor Sum 188,125
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7678093 ← → #7678171

Radix Representation

Decimal 7678163
Binary 11101010010100011010011 (23 bits)
Octal 0o35224323
Hexadecimal 0x7528D3

Divisor Catalog (5 of 8)

Collatz Trajectory (279 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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