λ
Integer Codex

3,085,092

22 × 32 × 17 × 712
Abundant Even Composite

For 3,085,092, the 54 positive divisors have a total of 8,375,094. Removing 3,085,092 leaves 5,290,002, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 71^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 8,375,094
Proper Divisor Sum 5,290,002
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3085073 ← → #3085123

Radix Representation

Decimal 3085092
Binary 1011110001001100100100 (22 bits)
Octal 0o13611444
Hexadecimal 0x2F1324

Divisor Catalog (54)

1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 204 213 284 306 426 612 639 852 1,207 1,278 2,414 2,556 3,621 4,828 5,041 7,242 10,082 10,863 14,484 15,123 20,164 21,726 30,246 43,452 45,369 60,492 85,697 90,738 171,394 181,476 257,091 342,788 514,182 771,273 1,028,364 1,542,546 3,085,092

Collatz Trajectory (76 steps to reach 1)

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

3,085,092 1,542,546 771,273 2,313,820 1,156,910 578,455 1,735,366 867,683 2,603,050 1,301,525 3,904,576 1,952,288 976,144 488,072 244,036 122,018 61,009 183,028 91,514 45,757 137,272 68,636 34,318 17,159 51,478 25,739 77,218 38,609 115,828 57,914 28,957 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544

More profiles

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