λ
Matchaa Zalai

766,911

3 × 255637
Deficient Odd Composite

766,911 factors as 3 × 255637. Its 4 positive divisors give a proper-divisor sum of 255,641, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3 × 255637
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,022,552
Proper Divisor Sum 255,641
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #766907 ← → #766937

Radix Representation

Decimal 766911
Binary 10111011001110111111 (20 bits)
Octal 0o2731677
Hexadecimal 0xBB3BF

Divisor Catalog (4)

1 3 255,637 766,911

Collatz Trajectory (185 steps to reach 1)

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

766,911 2,300,734 1,150,367 3,451,102 1,725,551 5,176,654 2,588,327 7,764,982 3,882,491 11,647,474 5,823,737 17,471,212 8,735,606 4,367,803 13,103,410 6,551,705 19,655,116 9,827,558 4,913,779 14,741,338 7,370,669 22,112,008 11,056,004 5,528,002 2,764,001 8,292,004 4,146,002 2,073,001 6,219,004 3,109,502 1,554,751 4,664,254 2,332,127 6,996,382 3,498,191 10,494,574 5,247,287 15,741,862 7,870,931 23,612,794 11,806,397 35,419,192 17,709,596 8,854,798 4,427,399 13,282,198 6,641,099 19,923,298 9,961,649 29,884,948 14,942,474 7,471,237 22,413,712 11,206,856 5,603,428 2,801,714 1,400,857 4,202,572 2,101,286 1,050,643

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