λ
Match Zalai

309,760

29 × 5 × 112
Abundant Even Composite

309,760 factors as 2^9 × 5 × 11^2. Its 60 positive divisors give a proper-divisor sum of 506,594, so this integer is abundant. The Collatz stopping time is 26 steps.

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Prime Factor Structure

Factorization String 2^9 × 5 × 11^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 816,354
Proper Divisor Sum 506,594
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #309737 ← → #309769

Radix Representation

Decimal 309760
Binary 1001011101000000000 (19 bits)
Octal 0o1135000
Hexadecimal 0x4BA00

Divisor Catalog (5 of 60)

1 2 4 5 8

Collatz Trajectory (26 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.

309,760 154,880 77,440 38,720 19,360

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