643,545

3⁴ × 5 × 7 × 227

643,545 factors as 3^4 × 5 × 7 × 227. Its 40 positive divisors give a proper-divisor sum of 680,679, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,324,224

Proper Divisor Sum 680,679

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #643523 ← → #643547

Radix Representation

Decimal	643545
Binary	10011101000111011001 (20 bits)
Octal	0o2350731
Hexadecimal	0x9D1D9

Divisor Catalog (40)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 227 315 405 567 681 945 1,135 1,589 2,043 2,835 3,405 4,767 6,129 7,945 10,215 14,301 18,387 23,835 30,645 42,903 71,505 91,935 128,709 214,515 643,545

Collatz Trajectory (97 steps to reach 1)

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

643,545 1,930,636 965,318 482,659 1,447,978 723,989 2,171,968 1,085,984 542,992 271,496 135,748 67,874 33,937 101,812 50,906 25,453 76,360 38,180 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102

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