776,394

2 × 3² × 43133

776,394 factors as 2 × 3^2 × 43133. Its 12 positive divisors give a proper-divisor sum of 905,832, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 43133

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,682,226

Proper Divisor Sum 905,832

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #776389 ← → #776401

Radix Representation

Decimal	776394
Binary	10111101100011001010 (20 bits)
Octal	0o2754312
Hexadecimal	0xBD8CA

Divisor Catalog (12)

1 2 3 6 9 18 43,133 86,266 129,399 258,798 388,197 776,394

Collatz Trajectory (87 steps to reach 1)

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

776,394 388,197 1,164,592 582,296 291,148 145,574 72,787 218,362 109,181 327,544 163,772 81,886 40,943 122,830 61,415 184,246 92,123 276,370 138,185 414,556 207,278 103,639 310,918 155,459 466,378 233,189 699,568 349,784 174,892 87,446 43,723 131,170 65,585 196,756 98,378 49,189 147,568 73,784 36,892 18,446 9,223 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696 23,348 11,674 5,837 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821

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