775,995

3 × 5 × 11 × 4703

775,995 factors as 3 × 5 × 11 × 4703. Its 16 positive divisors give a proper-divisor sum of 578,757, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 4703

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,354,752

Proper Divisor Sum 578,757

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #775987 ← → #776003

Radix Representation

Decimal	775995
Binary	10111101011100111011 (20 bits)
Octal	0o2753473
Hexadecimal	0xBD73B

Divisor Catalog (16)

1 3 5 11 15 33 55 165 4,703 14,109 23,515 51,733 70,545 155,199 258,665 775,995

Collatz Trajectory (74 steps to reach 1)

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

775,995 2,327,986 1,163,993 3,491,980 1,745,990 872,995 2,618,986 1,309,493 3,928,480 1,964,240 982,120 491,060 245,530 122,765 368,296 184,148 92,074 46,037 138,112 69,056 34,528 17,264 8,632 4,316 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23

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