λ
Match Zalai

8,151,213

3 × 7 × 131 × 2963
Deficient Odd Composite

8,151,213 factors as 3 × 7 × 131 × 2963. Its 16 positive divisors give a proper-divisor sum of 4,368,723, so this integer is deficient. The Collatz stopping time is 137 steps.

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Prime Factor Structure

Factorization String 3 × 7 × 131 × 2963
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,519,936
Proper Divisor Sum 4,368,723
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8151203 ← → #8151217

Radix Representation

Decimal 8151213
Binary 11111000110000010101101 (23 bits)
Octal 0o37060255
Hexadecimal 0x7C60AD

Divisor Catalog (5 of 16)

1 3 7 21 131

Collatz Trajectory (137 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.

8,151,213 24,453,640 12,226,820 6,113,410 3,056,705

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