λ
Match Zalai

3,150,720

27 × 32 × 5 × 547
Abundant Even Composite

3,150,720 factors as 2^7 × 3^2 × 5 × 547. Its 96 positive divisors give a proper-divisor sum of 7,749,000, so this integer is abundant. The Collatz stopping time is 102 steps.

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Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,899,720
Proper Divisor Sum 7,749,000
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3150709 ← → #3150733

Radix Representation

Decimal 3150720
Binary 1100000001001110000000 (22 bits)
Octal 0o14011600
Hexadecimal 0x301380

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (102 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.

3,150,720 1,575,360 787,680 393,840 196,920

More profiles

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