793,560

2³ × 3 × 5 × 17 × 389

793,560 factors as 2^3 × 3 × 5 × 17 × 389. Its 64 positive divisors give a proper-divisor sum of 1,733,640, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 389

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,527,200

Proper Divisor Sum 1,733,640

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #793553 ← → #793561

Radix Representation

Decimal	793560
Binary	11000001101111011000 (20 bits)
Octal	0o3015730
Hexadecimal	0xC1BD8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 389 408 510 680 778 1,020 1,167 1,556 1,945 2,040 2,334 3,112 3,890 4,668 5,835 6,613 7,780 9,336 11,670 13,226 15,560 19,839 23,340 26,452 33,065 39,678 46,680 52,904 66,130 79,356 99,195 132,260 158,712

Collatz Trajectory (193 steps to reach 1)

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

793,560 396,780 198,390 99,195 297,586 148,793 446,380 223,190 111,595 334,786 167,393 502,180 251,090 125,545 376,636 188,318 94,159 282,478 141,239 423,718 211,859 635,578 317,789 953,368 476,684 238,342 119,171 357,514 178,757 536,272 268,136 134,068 67,034 33,517 100,552 50,276 25,138 12,569 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035

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