447,498

2 × 3³ × 8287

447,498 factors as 2 × 3^3 × 8287. Its 16 positive divisors give a proper-divisor sum of 547,062, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 8287

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 994,560

Proper Divisor Sum 547,062

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #447481 ← → #447509

Radix Representation

Decimal	447498
Binary	1101101010000001010 (19 bits)
Octal	0o1552012
Hexadecimal	0x6D40A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 8,287 16,574 24,861 49,722 74,583 149,166 223,749 447,498

Collatz Trajectory (187 steps to reach 1)

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

447,498 223,749 671,248 335,624 167,812 83,906 41,953 125,860 62,930 31,465 94,396 47,198 23,599 70,798 35,399 106,198 53,099 159,298 79,649 238,948 119,474 59,737 179,212 89,606 44,803 134,410 67,205 201,616 100,808 50,404 25,202 12,601 37,804 18,902 9,451 28,354 14,177 42,532 21,266 10,633 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036

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