793,746

2 × 3³ × 14699

793,746 factors as 2 × 3^3 × 14699. Its 16 positive divisors give a proper-divisor sum of 970,254, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 14699

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,764,000

Proper Divisor Sum 970,254

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #793739 ← → #793757

Radix Representation

Decimal	793746
Binary	11000001110010010010 (20 bits)
Octal	0o3016222
Hexadecimal	0xC1C92

Divisor Catalog (16)

1 2 3 6 9 18 27 54 14,699 29,398 44,097 88,194 132,291 264,582 396,873 793,746

Collatz Trajectory (100 steps to reach 1)

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

793,746 396,873 1,190,620 595,310 297,655 892,966 446,483 1,339,450 669,725 2,009,176 1,004,588 502,294 251,147 753,442 376,721 1,130,164 565,082 282,541 847,624 423,812 211,906 105,953 317,860 158,930 79,465 238,396 119,198 59,599 178,798 89,399 268,198 134,099 402,298 201,149 603,448 301,724 150,862 75,431 226,294 113,147 339,442 169,721 509,164 254,582 127,291 381,874 190,937 572,812 286,406 143,203 429,610 214,805 644,416 322,208 161,104 80,552 40,276 20,138 10,069 30,208

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