λ
Ratio Atlas

777,232

24 × 31 × 1567
Abundant Even Composite

777,232 factors as 2^4 × 31 × 1567. Its 20 positive divisors give a proper-divisor sum of 778,224, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 1567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,555,456
Proper Divisor Sum 778,224
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #777221 ← → #777241

Radix Representation

Decimal 777232
Binary 10111101110000010000 (20 bits)
Octal 0o2756020
Hexadecimal 0xBDC10

Divisor Catalog (20)

Collatz Trajectory (56 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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