λ
Sequence Observatory

7,844,293

17 × 67 × 71 × 97
Deficient Odd Composite

Starting at 7,844,293, the Collatz iteration reaches 1 after 49 steps. The first transition is 23532880; the starting value is odd with 16 positive divisors.

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Prime Factor Structure

Factorization String 17 × 67 × 71 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,636,544
Proper Divisor Sum 792,251
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7844281 ← → #7844303

Radix Representation

Decimal 7844293
Binary 11101111011000111000101 (23 bits)
Octal 0o35730705
Hexadecimal 0x77B1C5

Divisor Catalog (5 of 16)

1 17 67 71 97

Collatz Trajectory (49 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.

7,844,293 23,532,880 11,766,440 5,883,220 2,941,610

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