6,674,094

2 × 3² × 7³ × 23 × 47

6,674,094 factors as 2 × 3^2 × 7^3 × 23 × 47. Its 96 positive divisors give a proper-divisor sum of 11,297,106, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^3 × 23 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 17,971,200

Proper Divisor Sum 11,297,106

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6674093 ← → #6674123

Radix Representation

Decimal	6674094
Binary	11001011101011010101110 (23 bits)
Octal	0o31353256
Hexadecimal	0x65D6AE

Divisor Catalog (60 of 96)

1 2 3 6 7 9 14 18 21 23 42 46 47 49 63 69 94 98 126 138 141 147 161 207 282 294 322 329 343 414 423 441 483 658 686 846 882 966 987 1,029 1,081 1,127 1,449 1,974 2,058 2,162 2,254 2,303 2,898 2,961 3,087 3,243 3,381 4,606 5,922 6,174 6,486 6,762 6,909 7,567

Collatz Trajectory (191 steps to reach 1)

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

6,674,094 3,337,047 10,011,142 5,005,571 15,016,714 7,508,357 22,525,072 11,262,536 5,631,268 2,815,634 1,407,817 4,223,452 2,111,726 1,055,863 3,167,590 1,583,795 4,751,386 2,375,693 7,127,080 3,563,540 1,781,770 890,885 2,672,656 1,336,328 668,164 334,082 167,041 501,124 250,562 125,281 375,844 187,922 93,961 281,884 140,942 70,471 211,414 105,707 317,122 158,561 475,684 237,842 118,921 356,764 178,382 89,191 267,574 133,787 401,362 200,681 602,044 301,022 150,511 451,534 225,767 677,302 338,651 1,015,954 507,977 1,523,932

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