λ
Integer Codex

3,289,590

2 × 32 × 5 × 36551
Abundant Even Composite

For 3,289,590, the 24 positive divisors have a total of 8,553,168. Removing 3,289,590 leaves 5,263,578, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 36551
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,553,168
Proper Divisor Sum 5,263,578
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3289579 ← → #3289591

Radix Representation

Decimal 3289590
Binary 1100100011000111110110 (22 bits)
Octal 0o14430766
Hexadecimal 0x3231F6

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 36,551 73,102 109,653 182,755 219,306 328,959 365,510 548,265 657,918 1,096,530 1,644,795 3,289,590

Collatz Trajectory (146 steps to reach 1)

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

3,289,590 1,644,795 4,934,386 2,467,193 7,401,580 3,700,790 1,850,395 5,551,186 2,775,593 8,326,780 4,163,390 2,081,695 6,245,086 3,122,543 9,367,630 4,683,815 14,051,446 7,025,723 21,077,170 10,538,585 31,615,756 15,807,878 7,903,939 23,711,818 11,855,909 35,567,728 17,783,864 8,891,932 4,445,966 2,222,983 6,668,950 3,334,475 10,003,426 5,001,713 15,005,140 7,502,570 3,751,285 11,253,856 5,626,928 2,813,464 1,406,732 703,366 351,683 1,055,050 527,525 1,582,576 791,288 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112

More profiles

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