λ
Sigma Notebook

5,940,500

22 × 53 × 1092
Abundant Even Composite

5,940,500 is even and not a perfect square. Its factorization is 2^2 × 5^3 × 109^2 and its 36 divisors sum to 13,094,172.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 109^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,094,172
Proper Divisor Sum 7,153,672
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5940479 ← → #5940503

Radix Representation

Decimal 5940500
Binary 10110101010010100010100 (23 bits)
Octal 0o26522424
Hexadecimal 0x5AA514

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 109 125 218 250 436 500 545 1,090 2,180 2,725 5,450 10,900 11,881 13,625 23,762 27,250 47,524 54,500 59,405 118,810 237,620 297,025 594,050 1,188,100 1,485,125 2,970,250 5,940,500

Collatz Trajectory (90 steps to reach 1)

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

5,940,500 2,970,250 1,485,125 4,455,376 2,227,688 1,113,844 556,922 278,461 835,384 417,692 208,846 104,423 313,270 156,635 469,906 234,953 704,860 352,430 176,215 528,646 264,323 792,970 396,485 1,189,456 594,728 297,364 148,682 74,341 223,024 111,512 55,756 27,878 13,939 41,818 20,909 62,728 31,364 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048

More profiles

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