λ
Sigma Notebook

3,582,090

2 × 33 × 5 × 13267
Abundant Even Composite

3,582,090 is even and not a perfect square. Its factorization is 2 × 3^3 × 5 × 13267 and its 32 divisors sum to 9,552,960.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 13267
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,552,960
Proper Divisor Sum 5,970,870
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3582083 ← → #3582091

Radix Representation

Decimal 3582090
Binary 1101101010100010001010 (22 bits)
Octal 0o15524212
Hexadecimal 0x36A88A

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 13,267 26,534 39,801 66,335 79,602 119,403 132,670 199,005 238,806 358,209 398,010 597,015 716,418 1,194,030 1,791,045 3,582,090

Collatz Trajectory (141 steps to reach 1)

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

3,582,090 1,791,045 5,373,136 2,686,568 1,343,284 671,642 335,821 1,007,464 503,732 251,866 125,933 377,800 188,900 94,450 47,225 141,676 70,838 35,419 106,258 53,129 159,388 79,694 39,847 119,542 59,771 179,314 89,657 268,972 134,486 67,243 201,730 100,865 302,596 151,298 75,649 226,948 113,474 56,737 170,212 85,106 42,553 127,660 63,830 31,915 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787

More profiles

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