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494,784

26 × 32 × 859
Abundant Even Composite

494,784 factors as 2^6 × 3^2 × 859. Its 42 positive divisors give a proper-divisor sum of 925,076, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 1,419,860
Proper Divisor Sum 925,076
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #494783 ← → #494789

Radix Representation

Decimal 494784
Binary 1111000110011000000 (19 bits)
Octal 0o1706300
Hexadecimal 0x78CC0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 859 1,718 2,577 3,436 5,154 6,872 7,731 10,308 13,744 15,462 20,616 27,488 30,924 41,232 54,976 61,848 82,464 123,696 164,928 247,392 494,784

Collatz Trajectory (151 steps to reach 1)

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

494,784 247,392 123,696 61,848 30,924 15,462 7,731 23,194 11,597 34,792 17,396 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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