λ
Sigma Notebook

6,340,092

22 × 3 × 11 × 43 × 1117
Abundant Even Composite

6,340,092 is even and not a perfect square. Its factorization is 2^2 × 3 × 11 × 43 × 1117 and its 48 divisors sum to 16,528,512.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 43 × 1117
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,528,512
Proper Divisor Sum 10,188,420
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6340069 ← → #6340109

Radix Representation

Decimal 6340092
Binary 11000001011110111111100 (23 bits)
Octal 0o30136774
Hexadecimal 0x60BDFC

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1,117 1,419 1,892 2,234 2,838 3,351 4,468 5,676 6,702 12,287 13,404 24,574 36,861 48,031 49,148 73,722 96,062 144,093 147,444 192,124 288,186 528,341 576,372 1,056,682 1,585,023 2,113,364 3,170,046 6,340,092

Collatz Trajectory (178 steps to reach 1)

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

6,340,092 3,170,046 1,585,023 4,755,070 2,377,535 7,132,606 3,566,303 10,698,910 5,349,455 16,048,366 8,024,183 24,072,550 12,036,275 36,108,826 18,054,413 54,163,240 27,081,620 13,540,810 6,770,405 20,311,216 10,155,608 5,077,804 2,538,902 1,269,451 3,808,354 1,904,177 5,712,532 2,856,266 1,428,133 4,284,400 2,142,200 1,071,100 535,550 267,775 803,326 401,663 1,204,990 602,495 1,807,486 903,743 2,711,230 1,355,615 4,066,846 2,033,423 6,100,270 3,050,135 9,150,406 4,575,203 13,725,610 6,862,805 20,588,416 10,294,208 5,147,104 2,573,552 1,286,776 643,388 321,694 160,847 482,542 241,271

More profiles

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