λ
Sequence Observatory

8,035,727

7 × 19 × 31 × 1949
Deficient Odd Composite

Starting at 8,035,727, the Collatz iteration reaches 1 after 186 steps. The first transition is 24107182; the starting value is odd with 16 positive divisors.

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Prime Factor Structure

Factorization String 7 × 19 × 31 × 1949
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,984,000
Proper Divisor Sum 1,948,273
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8035693 ← → #8035733

Radix Representation

Decimal 8035727
Binary 11110101001110110001111 (23 bits)
Octal 0o36516617
Hexadecimal 0x7A9D8F

Divisor Catalog (5 of 16)

1 7 19 31 133

Collatz Trajectory (186 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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