643,347

3² × 71483

643,347 factors as 3^2 × 71483. Its 6 positive divisors give a proper-divisor sum of 285,945, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^2 × 71483

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 929,292

Proper Divisor Sum 285,945

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #643303 ← → #643369

Radix Representation

Decimal	643347
Binary	10011101000100010011 (20 bits)
Octal	0o2350423
Hexadecimal	0x9D113

Divisor Catalog (6)

1 3 9 71,483 214,449 643,347

Collatz Trajectory (110 steps to reach 1)

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

643,347 1,930,042 965,021 2,895,064 1,447,532 723,766 361,883 1,085,650 542,825 1,628,476 814,238 407,119 1,221,358 610,679 1,832,038 916,019 2,748,058 1,374,029 4,122,088 2,061,044 1,030,522 515,261 1,545,784 772,892 386,446 193,223 579,670 289,835 869,506 434,753 1,304,260 652,130 326,065 978,196 489,098 244,549 733,648 366,824 183,412 91,706 45,853 137,560 68,780 34,390 17,195 51,586 25,793 77,380 38,690 19,345 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081

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