λ
Match Zalai

7,767,102

2 × 3 × 7 × 101 × 1831
Abundant Even Composite

7,767,102 factors as 2 × 3 × 7 × 101 × 1831. Its 32 positive divisors give a proper-divisor sum of 10,171,842, so this integer is abundant. The Collatz stopping time is 178 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 101 × 1831
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,938,944
Proper Divisor Sum 10,171,842
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7767083 ← → #7767103

Radix Representation

Decimal 7767102
Binary 11101101000010000111110 (23 bits)
Octal 0o35502076
Hexadecimal 0x76843E

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (178 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.

7,767,102 3,883,551 11,650,654 5,825,327 17,475,982

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