λ
Matchaa Zalai

7,343,784

23 × 34 × 7 × 1619
Abundant Even Composite

7,343,784 factors as 2^3 × 3^4 × 7 × 1619. Its 80 positive divisors give a proper-divisor sum of 16,178,616, so this integer is abundant. The Collatz stopping time is 85 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 1619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 23,522,400
Proper Divisor Sum 16,178,616
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7343771 ← → #7343827

Radix Representation

Decimal 7343784
Binary 11100000000111010101000 (23 bits)
Octal 0o34007250
Hexadecimal 0x700EA8

Divisor Catalog (5 of 80)

1 2 3 4 6

Collatz Trajectory (85 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.

7,343,784 3,671,892 1,835,946 917,973 2,753,920

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