490,784

2⁵ × 7² × 313

490,784 factors as 2^5 × 7^2 × 313. Its 36 positive divisors give a proper-divisor sum of 636,790, so this integer is abundant. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2^5 × 7^2 × 313

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,127,574

Proper Divisor Sum 636,790

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #490783 ← → #490829

Radix Representation

Decimal	490784
Binary	1110111110100100000 (19 bits)
Octal	0o1676440
Hexadecimal	0x77D20

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 313 392 626 784 1,252 1,568 2,191 2,504 4,382 5,008 8,764 10,016 15,337 17,528 30,674 35,056 61,348 70,112 122,696 245,392 490,784

Collatz Trajectory (244 steps to reach 1)

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

490,784 245,392 122,696 61,348 30,674 15,337 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934 69,967 209,902 104,951 314,854 157,427 472,282 236,141 708,424 354,212 177,106 88,553 265,660 132,830 66,415 199,246 99,623 298,870 149,435 448,306 224,153 672,460

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