λ
Match Zalai

8,106,567

3 × 7 × 71 × 5437
Deficient Odd Composite

8,106,567 factors as 3 × 7 × 71 × 5437. Its 16 positive divisors give a proper-divisor sum of 4,422,585, so this integer is deficient. The Collatz stopping time is 230 steps.

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Prime Factor Structure

Factorization String 3 × 7 × 71 × 5437
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,529,152
Proper Divisor Sum 4,422,585
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8106533 ← → #8106583

Radix Representation

Decimal 8106567
Binary 11110111011001001000111 (23 bits)
Octal 0o36731107
Hexadecimal 0x7BB247

Divisor Catalog (5 of 16)

1 3 7 21 71

Collatz Trajectory (230 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.

8,106,567 24,319,702 12,159,851 36,479,554 18,239,777

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