λ
Sigma Notebook

2,592,798

2 × 3 × 132 × 2557
Abundant Even Composite

2,592,798 is even and not a perfect square. Its factorization is 2 × 3 × 13^2 × 2557 and its 24 divisors sum to 5,617,368.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 2557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,617,368
Proper Divisor Sum 3,024,570
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2592791 ← → #2592829

Radix Representation

Decimal 2592798
Binary 1001111001000000011110 (22 bits)
Octal 0o11710036
Hexadecimal 0x27901E

Divisor Catalog (24)

1 2 3 6 13 26 39 78 169 338 507 1,014 2,557 5,114 7,671 15,342 33,241 66,482 99,723 199,446 432,133 864,266 1,296,399 2,592,798

Collatz Trajectory (179 steps to reach 1)

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

2,592,798 1,296,399 3,889,198 1,944,599 5,833,798 2,916,899 8,750,698 4,375,349 13,126,048 6,563,024 3,281,512 1,640,756 820,378 410,189 1,230,568 615,284 307,642 153,821 461,464 230,732 115,366 57,683 173,050 86,525 259,576 129,788 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674

More profiles

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