3,088,982

2 × 13³ × 19 × 37

3,088,982 is even and not a perfect square. Its factorization is 2 × 13^3 × 19 × 37 and its 32 divisors sum to 5,426,400.

Prime Factor Structure

Factorization String 2 × 13^3 × 19 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,426,400

Proper Divisor Sum 2,337,418

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3088973 ← → #3089027

Radix Representation

Decimal	3088982
Binary	1011110010001001010110 (22 bits)
Octal	0o13621126
Hexadecimal	0x2F2256

Divisor Catalog (32)

1 2 13 19 26 37 38 74 169 247 338 481 494 703 962 1,406 2,197 3,211 4,394 6,253 6,422 9,139 12,506 18,278 41,743 81,289 83,486 118,807 162,578 237,614 1,544,491 3,088,982

Collatz Trajectory (226 steps to reach 1)

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

3,088,982 1,544,491 4,633,474 2,316,737 6,950,212 3,475,106 1,737,553 5,212,660 2,606,330 1,303,165 3,909,496 1,954,748 977,374 488,687 1,466,062 733,031 2,199,094 1,099,547 3,298,642 1,649,321 4,947,964 2,473,982 1,236,991 3,710,974 1,855,487 5,566,462 2,783,231 8,349,694 4,174,847 12,524,542 6,262,271 18,786,814 9,393,407 28,180,222 14,090,111 42,270,334 21,135,167 63,405,502 31,702,751 95,108,254 47,554,127 142,662,382 71,331,191 213,993,574 106,996,787 320,990,362 160,495,181 481,485,544 240,742,772 120,371,386 60,185,693 180,557,080 90,278,540 45,139,270 22,569,635 67,708,906 33,854,453 101,563,360 50,781,680 25,390,840

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