λ
Matchaa Zalai

7,755,930

2 × 32 × 5 × 7 × 13 × 947
Abundant Even Composite

7,755,930 factors as 2 × 3^2 × 5 × 7 × 13 × 947. Its 96 positive divisors give a proper-divisor sum of 17,089,254, so this integer is abundant. The Collatz stopping time is 155 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 13 × 947
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 24,845,184
Proper Divisor Sum 17,089,254
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7755907 ← → #7755959

Radix Representation

Decimal 7755930
Binary 11101100101100010011010 (23 bits)
Octal 0o35454232
Hexadecimal 0x76589A

Divisor Catalog (5 of 96)

1 2 3 5 6

Collatz Trajectory (155 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.

7,755,930 3,877,965 11,633,896 5,816,948 2,908,474

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