λ
Matchaa Zalai

7,828,820

22 × 5 × 391441
Abundant Even Composite

7,828,820 factors as 2^2 × 5 × 391441. Its 12 positive divisors give a proper-divisor sum of 8,611,744, so this integer is abundant. The Collatz stopping time is 41 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 391441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,440,564
Proper Divisor Sum 8,611,744
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7828783 ← → #7828841

Radix Representation

Decimal 7828820
Binary 11101110111010101010100 (23 bits)
Octal 0o35672524
Hexadecimal 0x777554

Divisor Catalog (5 of 12)

1 2 4 5 10

Collatz Trajectory (41 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.

7,828,820 3,914,410 1,957,205 5,871,616 2,935,808

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