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Atlas › Integer Profiles › Node 3,397,290

3,397,290

2 × 3 × 5 × 13 × 31 × 281
Abundant Even Composite

3,397,290 factors as 2 × 3 × 5 × 13 × 31 × 281. Its 64 positive divisors give a proper-divisor sum of 5,698,902, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 31 × 281
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,096,192
Proper Divisor Sum 5,698,902
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3397267 ← → #3397291

Radix Representation

Decimal 3397290
Binary 1100111101011010101010 (22 bits)
Octal 0o14753252
Hexadecimal 0x33D6AA

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 281 310 390 403 465 562 806 843 930 1,209 1,405 1,686 2,015 2,418 2,810 3,653 4,030 4,215 6,045 7,306 8,430 8,711 10,959 12,090 17,422 18,265 21,918 26,133 36,530 43,555 52,266 54,795 87,110 109,590 113,243 130,665 226,486 261,330 339,729 566,215

Collatz Trajectory (84 steps to reach 1)

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

3,397,290 1,698,645 5,095,936 2,547,968 1,273,984 636,992 318,496 159,248 79,624 39,812 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100

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