3,802,098

2 × 3 × 317 × 1999

3,802,098 factors as 2 × 3 × 317 × 1999. Its 16 positive divisors give a proper-divisor sum of 3,829,902, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 317 × 1999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,632,000

Proper Divisor Sum 3,829,902

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3802093 ← → #3802129

Radix Representation

Decimal	3802098
Binary	1110100000001111110010 (22 bits)
Octal	0o16401762
Hexadecimal	0x3A03F2

Divisor Catalog (16)

1 2 3 6 317 634 951 1,902 1,999 3,998 5,997 11,994 633,683 1,267,366 1,901,049 3,802,098

Collatz Trajectory (185 steps to reach 1)

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

3,802,098 1,901,049 5,703,148 2,851,574 1,425,787 4,277,362 2,138,681 6,416,044 3,208,022 1,604,011 4,812,034 2,406,017 7,218,052 3,609,026 1,804,513 5,413,540 2,706,770 1,353,385 4,060,156 2,030,078 1,015,039 3,045,118 1,522,559 4,567,678 2,283,839 6,851,518 3,425,759 10,277,278 5,138,639 15,415,918 7,707,959 23,123,878 11,561,939 34,685,818 17,342,909 52,028,728 26,014,364 13,007,182 6,503,591 19,510,774 9,755,387 29,266,162 14,633,081 43,899,244 21,949,622 10,974,811 32,924,434 16,462,217 49,386,652 24,693,326 12,346,663 37,039,990 18,519,995 55,559,986 27,779,993 83,339,980 41,669,990 20,834,995 62,504,986 31,252,493

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