λ
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775,760

24 × 5 × 9697
Abundant Even Composite

775,760 factors as 2^4 × 5 × 9697. Its 20 positive divisors give a proper-divisor sum of 1,028,068, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 9697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,803,828
Proper Divisor Sum 1,028,068
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #775757 ← → #775777

Radix Representation

Decimal 775760
Binary 10111101011001010000 (20 bits)
Octal 0o2753120
Hexadecimal 0xBD650

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 9,697 19,394 38,788 48,485 77,576 96,970 155,152 193,940 387,880 775,760

Collatz Trajectory (149 steps to reach 1)

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

775,760 387,880 193,940 96,970 48,485 145,456 72,728 36,364 18,182 9,091 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137

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