λ
Sigma Notebook

3,700,580

22 × 5 × 13 × 43 × 331
Abundant Even Composite

3,700,580 is even and not a perfect square. Its factorization is 2^2 × 5 × 13 × 43 × 331 and its 48 divisors sum to 8,589,504.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 43 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,589,504
Proper Divisor Sum 4,888,924
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3700549 ← → #3700601

Radix Representation

Decimal 3700580
Binary 1110000111011101100100 (22 bits)
Octal 0o16073544
Hexadecimal 0x387764

Divisor Catalog (48)

1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 331 430 559 662 860 1,118 1,324 1,655 2,236 2,795 3,310 4,303 5,590 6,620 8,606 11,180 14,233 17,212 21,515 28,466 43,030 56,932 71,165 86,060 142,330 185,029 284,660 370,058 740,116 925,145 1,850,290 3,700,580

Collatz Trajectory (84 steps to reach 1)

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

3,700,580 1,850,290 925,145 2,775,436 1,387,718 693,859 2,081,578 1,040,789 3,122,368 1,561,184 780,592 390,296 195,148 97,574 48,787 146,362 73,181 219,544 109,772 54,886 27,443 82,330 41,165 123,496 61,748 30,874 15,437 46,312 23,156 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653

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