λ
Matchaa Zalai

2,308,320

25 × 32 × 5 × 7 × 229
Abundant Even Composite

2,308,320 factors as 2^5 × 3^2 × 5 × 7 × 229. Its 144 positive divisors give a proper-divisor sum of 6,733,440, so this integer is abundant. The Collatz stopping time is 130 steps.

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Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 7 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 9,041,760
Proper Divisor Sum 6,733,440
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2308297 ← → #2308321

Radix Representation

Decimal 2308320
Binary 1000110011100011100000 (22 bits)
Octal 0o10634340
Hexadecimal 0x2338E0

Divisor Catalog (5 of 144)

1 2 3 4 5

Collatz Trajectory (130 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.

2,308,320 1,154,160 577,080 288,540 144,270

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