λ
Integer Codex

3,288,580

22 × 5 × 164429
Abundant Even Composite

For 3,288,580, the 12 positive divisors have a total of 6,906,060. Removing 3,288,580 leaves 3,617,480, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 164429
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,906,060
Proper Divisor Sum 3,617,480
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3288559 ← → #3288587

Radix Representation

Decimal 3288580
Binary 1100100010111000000100 (22 bits)
Octal 0o14427004
Hexadecimal 0x322E04

Divisor Catalog (12)

1 2 4 5 10 20 164,429 328,858 657,716 822,145 1,644,290 3,288,580

Collatz Trajectory (146 steps to reach 1)

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

3,288,580 1,644,290 822,145 2,466,436 1,233,218 616,609 1,849,828 924,914 462,457 1,387,372 693,686 346,843 1,040,530 520,265 1,560,796 780,398 390,199 1,170,598 585,299 1,755,898 877,949 2,633,848 1,316,924 658,462 329,231 987,694 493,847 1,481,542 740,771 2,222,314 1,111,157 3,333,472 1,666,736 833,368 416,684 208,342 104,171 312,514 156,257 468,772 234,386 117,193 351,580 175,790 87,895 263,686 131,843 395,530 197,765 593,296 296,648 148,324 74,162 37,081 111,244 55,622 27,811 83,434 41,717 125,152

More profiles

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