830,118

2 × 3 × 31 × 4463

830,118 factors as 2 × 3 × 31 × 4463. Its 16 positive divisors give a proper-divisor sum of 884,058, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 4463

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,714,176

Proper Divisor Sum 884,058

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #830117 ← → #830131

Radix Representation

Decimal	830118
Binary	11001010101010100110 (20 bits)
Octal	0o3125246
Hexadecimal	0xCAAA6

Divisor Catalog (16)

1 2 3 6 31 62 93 186 4,463 8,926 13,389 26,778 138,353 276,706 415,059 830,118

Collatz Trajectory (82 steps to reach 1)

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

830,118 415,059 1,245,178 622,589 1,867,768 933,884 466,942 233,471 700,414 350,207 1,050,622 525,311 1,575,934 787,967 2,363,902 1,181,951 3,545,854 1,772,927 5,318,782 2,659,391 7,978,174 3,989,087 11,967,262 5,983,631 17,950,894 8,975,447 26,926,342 13,463,171 40,389,514 20,194,757 60,584,272 30,292,136 15,146,068 7,573,034 3,786,517 11,359,552 5,679,776 2,839,888 1,419,944 709,972 354,986 177,493 532,480 266,240 133,120 66,560 33,280 16,640 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148

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