1,748,313

3² × 7 × 27751

1,748,313 factors as 3^2 × 7 × 27751. Its 12 positive divisors give a proper-divisor sum of 1,137,895, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 27751

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,886,208

Proper Divisor Sum 1,137,895

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1748291 ← → #1748333

Radix Representation

Decimal	1748313
Binary	110101010110101011001 (21 bits)
Octal	0o6526531
Hexadecimal	0x1AAD59

Divisor Catalog (12)

1 3 7 9 21 63 27,751 83,253 194,257 249,759 582,771 1,748,313

Collatz Trajectory (189 steps to reach 1)

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

1,748,313 5,244,940 2,622,470 1,311,235 3,933,706 1,966,853 5,900,560 2,950,280 1,475,140 737,570 368,785 1,106,356 553,178 276,589 829,768 414,884 207,442 103,721 311,164 155,582 77,791 233,374 116,687 350,062 175,031 525,094 262,547 787,642 393,821 1,181,464 590,732 295,366 147,683 443,050 221,525 664,576 332,288 166,144 83,072 41,536 20,768 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853

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