λ
Sigma Notebook

3,324,930

2 × 3 × 5 × 7 × 71 × 223
Abundant Even Composite

3,324,930 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 7 × 71 × 223 and its 64 divisors sum to 9,289,728.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 71 × 223
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,289,728
Proper Divisor Sum 5,964,798
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3324929 ← → #3324941

Radix Representation

Decimal 3324930
Binary 1100101011110000000010 (22 bits)
Octal 0o14536002
Hexadecimal 0x32BC02

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 223 355 426 446 497 669 710 994 1,065 1,115 1,338 1,491 1,561 2,130 2,230 2,485 2,982 3,122 3,345 4,683 4,970 6,690 7,455 7,805 9,366 14,910 15,610 15,833 23,415 31,666 46,830 47,499 79,165 94,998 110,831 158,330 221,662 237,495 332,493 474,990 554,155

Collatz Trajectory (177 steps to reach 1)

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

3,324,930 1,662,465 4,987,396 2,493,698 1,246,849 3,740,548 1,870,274 935,137 2,805,412 1,402,706 701,353 2,104,060 1,052,030 526,015 1,578,046 789,023 2,367,070 1,183,535 3,550,606 1,775,303 5,325,910 2,662,955 7,988,866 3,994,433 11,983,300 5,991,650 2,995,825 8,987,476 4,493,738 2,246,869 6,740,608 3,370,304 1,685,152 842,576 421,288 210,644 105,322 52,661 157,984 78,992 39,496 19,748 9,874 4,937 14,812 7,406 3,703 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586

More profiles

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