768,762

2 × 3² × 42709

768,762 has digital root 9. The neighboring primes are 768751 and 768767; its proper-divisor sum differs from the starting integer by 128,166.

Prime Factor Structure

Factorization String 2 × 3^2 × 42709

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,665,690

Proper Divisor Sum 896,928

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #768751 ← → #768767

Radix Representation

Decimal	768762
Binary	10111011101011111010 (20 bits)
Octal	0o2735372
Hexadecimal	0xBBAFA

Divisor Catalog (12)

1 2 3 6 9 18 42,709 85,418 128,127 256,254 384,381 768,762

Collatz Trajectory (48 steps to reach 1)

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

768,762 384,381 1,153,144 576,572 288,286 144,143 432,430 216,215 648,646 324,323 972,970 486,485 1,459,456 729,728 364,864 182,432 91,216 45,608 22,804 11,402 5,701 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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