λ
Math Directory

777,276

22 × 34 × 2399
Abundant Even Composite

777,276 factors as 2^2 × 3^4 × 2399. Its 30 positive divisors give a proper-divisor sum of 1,255,524, so this integer is abundant. The Collatz stopping time is 56 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^4 × 2399
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,032,800
Proper Divisor Sum 1,255,524
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #777269 ← → #777277

Radix Representation

Decimal 777276
Binary 10111101110000111100 (20 bits)
Octal 0o2756074
Hexadecimal 0xBDC3C

Divisor Catalog (5 of 30)

1 2 3 4 6

Collatz Trajectory (56 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.

777,276 388,638 194,319 582,958 291,479

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