λ
Match Zalai

9,862,520

23 × 5 × 192 × 683
Abundant Even Composite

9,862,520 factors as 2^3 × 5 × 19^2 × 683. Its 48 positive divisors give a proper-divisor sum of 13,591,840, so this integer is abundant. The Collatz stopping time is 176 steps.

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Prime Factor Structure

Factorization String 2^3 × 5 × 19^2 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,454,360
Proper Divisor Sum 13,591,840
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9862513 ← → #9862529

Radix Representation

Decimal 9862520
Binary 100101100111110101111000 (24 bits)
Octal 0o45476570
Hexadecimal 0x967D78

Divisor Catalog (5 of 48)

1 2 4 5 8

Collatz Trajectory (176 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.

9,862,520 4,931,260 2,465,630 1,232,815 3,698,446

More profiles

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