770,577

3 × 397 × 647

770,577 factors as 3 × 397 × 647. Its 8 positive divisors give a proper-divisor sum of 261,039, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 397 × 647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,031,616

Proper Divisor Sum 261,039

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #770573 ← → #770579

Radix Representation

Decimal	770577
Binary	10111100001000010001 (20 bits)
Octal	0o2741021
Hexadecimal	0xBC211

Divisor Catalog (8)

1 3 397 647 1,191 1,941 256,859 770,577

Collatz Trajectory (193 steps to reach 1)

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

770,577 2,311,732 1,155,866 577,933 1,733,800 866,900 433,450 216,725 650,176 325,088 162,544 81,272 40,636 20,318 10,159 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900

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