λ
Ratio Atlas

6,972,980

22 × 5 × 7 × 49807
Abundant Even Composite

6,972,980 factors as 2^2 × 5 × 7 × 49807. Its 24 positive divisors give a proper-divisor sum of 9,762,508, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 49807
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,735,488
Proper Divisor Sum 9,762,508
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6972961 ← → #6973003

Radix Representation

Decimal 6972980
Binary 11010100110011000110100 (23 bits)
Octal 0o32463064
Hexadecimal 0x6A6634

Divisor Catalog (24)

Collatz Trajectory (54 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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