λ
Match Zalai

9,961,572

22 × 3 × 830131
Abundant Even Composite

9,961,572 factors as 2^2 × 3 × 830131. Its 12 positive divisors give a proper-divisor sum of 13,282,124, so this integer is abundant. The Collatz stopping time is 101 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 830131
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 23,243,696
Proper Divisor Sum 13,282,124
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9961543 ← → #9961573

Radix Representation

Decimal 9961572
Binary 100110000000000001100100 (24 bits)
Octal 0o46000144
Hexadecimal 0x980064

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (101 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.

9,961,572 4,980,786 2,490,393 7,471,180 3,735,590

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