963,198

2 × 3³ × 17837

963,198 factors as 2 × 3^3 × 17837. Its 16 positive divisors give a proper-divisor sum of 1,177,362, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 17837

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,140,560

Proper Divisor Sum 1,177,362

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #963191 ← → #963211

Radix Representation

Decimal	963198
Binary	11101011001001111110 (20 bits)
Octal	0o3531176
Hexadecimal	0xEB27E

Divisor Catalog (16)

1 2 3 6 9 18 27 54 17,837 35,674 53,511 107,022 160,533 321,066 481,599 963,198

Collatz Trajectory (95 steps to reach 1)

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

963,198 481,599 1,444,798 722,399 2,167,198 1,083,599 3,250,798 1,625,399 4,876,198 2,438,099 7,314,298 3,657,149 10,971,448 5,485,724 2,742,862 1,371,431 4,114,294 2,057,147 6,171,442 3,085,721 9,257,164 4,628,582 2,314,291 6,942,874 3,471,437 10,414,312 5,207,156 2,603,578 1,301,789 3,905,368 1,952,684 976,342 488,171 1,464,514 732,257 2,196,772 1,098,386 549,193 1,647,580 823,790 411,895 1,235,686 617,843 1,853,530 926,765 2,780,296 1,390,148 695,074 347,537 1,042,612 521,306 260,653 781,960 390,980 195,490 97,745 293,236 146,618 73,309 219,928

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