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Math Directory

2,383,360

29 × 5 × 72 × 19
Abundant Even Composite

2,383,360 factors as 2^9 × 5 × 7^2 × 19. Its 120 positive divisors give a proper-divisor sum of 4,613,960, so this integer is abundant. The Collatz stopping time is 99 steps.

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Prime Factor Structure

Factorization String 2^9 × 5 × 7^2 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 6,997,320
Proper Divisor Sum 4,613,960
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2383343 ← → #2383393

Radix Representation

Decimal 2383360
Binary 1001000101111000000000 (22 bits)
Octal 0o11057000
Hexadecimal 0x245E00

Divisor Catalog (5 of 120)

1 2 4 5 7

Collatz Trajectory (99 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.

2,383,360 1,191,680 595,840 297,920 148,960

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