764,574

2 × 3 × 61 × 2089

764,574 factors as 2 × 3 × 61 × 2089. Its 16 positive divisors give a proper-divisor sum of 790,386, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 3 × 61 × 2089

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,554,960

Proper Divisor Sum 790,386

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #764563 ← → #764587

Radix Representation

Decimal	764574
Binary	10111010101010011110 (20 bits)
Octal	0o2725236
Hexadecimal	0xBAA9E

Divisor Catalog (16)

1 2 3 6 61 122 183 366 2,089 4,178 6,267 12,534 127,429 254,858 382,287 764,574

Collatz Trajectory (136 steps to reach 1)

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

764,574 382,287 1,146,862 573,431 1,720,294 860,147 2,580,442 1,290,221 3,870,664 1,935,332 967,666 483,833 1,451,500 725,750 362,875 1,088,626 544,313 1,632,940 816,470 408,235 1,224,706 612,353 1,837,060 918,530 459,265 1,377,796 688,898 344,449 1,033,348 516,674 258,337 775,012 387,506 193,753 581,260 290,630 145,315 435,946 217,973 653,920 326,960 163,480 81,740 40,870 20,435 61,306 30,653 91,960 45,980 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099

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