λ
Match Zalai

6,978,288

24 × 3 × 145381
Abundant Even Composite

6,978,288 factors as 2^4 × 3 × 145381. Its 20 positive divisors give a proper-divisor sum of 11,049,080, so this integer is abundant. The Collatz stopping time is 191 steps.

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Prime Factor Structure

Factorization String 2^4 × 3 × 145381
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,027,368
Proper Divisor Sum 11,049,080
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6978287 ← → #6978319

Radix Representation

Decimal 6978288
Binary 11010100111101011110000 (23 bits)
Octal 0o32475360
Hexadecimal 0x6A7AF0

Divisor Catalog (5 of 20)

1 2 3 4 6

Collatz Trajectory (191 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.

6,978,288 3,489,144 1,744,572 872,286 436,143

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