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Atlas › Integer Profiles › Node 2,968,098

2,968,098

2 × 3 × 7 × 17 × 4157
Abundant Even Composite

2,968,098 factors as 2 × 3 × 7 × 17 × 4157. Its 32 positive divisors give a proper-divisor sum of 4,216,926, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 4157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,185,024
Proper Divisor Sum 4,216,926
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2968057 ← → #2968099

Radix Representation

Decimal 2968098
Binary 1011010100101000100010 (22 bits)
Octal 0o13245042
Hexadecimal 0x2D4A22

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 4,157 8,314 12,471 24,942 29,099 58,198 70,669 87,297 141,338 174,594 212,007 424,014 494,683 989,366 1,484,049 2,968,098

Collatz Trajectory (195 steps to reach 1)

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

2,968,098 1,484,049 4,452,148 2,226,074 1,113,037 3,339,112 1,669,556 834,778 417,389 1,252,168 626,084 313,042 156,521 469,564 234,782 117,391 352,174 176,087 528,262 264,131 792,394 396,197 1,188,592 594,296 297,148 148,574 74,287 222,862 111,431 334,294 167,147 501,442 250,721 752,164 376,082 188,041 564,124 282,062 141,031 423,094 211,547 634,642 317,321 951,964 475,982 237,991 713,974 356,987 1,070,962 535,481 1,606,444 803,222 401,611 1,204,834 602,417 1,807,252 903,626 451,813 1,355,440 677,720

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