λ
Integer Codex

2,743,326

2 × 32 × 152407
Abundant Even Composite

For 2,743,326, the 12 positive divisors have a total of 5,943,912. Removing 2,743,326 leaves 3,200,586, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 152407
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,943,912
Proper Divisor Sum 3,200,586
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2743297 ← → #2743381

Radix Representation

Decimal 2743326
Binary 1010011101110000011110 (22 bits)
Octal 0o12356036
Hexadecimal 0x29DC1E

Divisor Catalog (12)

1 2 3 6 9 18 152,407 304,814 457,221 914,442 1,371,663 2,743,326

Collatz Trajectory (262 steps to reach 1)

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

2,743,326 1,371,663 4,114,990 2,057,495 6,172,486 3,086,243 9,258,730 4,629,365 13,888,096 6,944,048 3,472,024 1,736,012 868,006 434,003 1,302,010 651,005 1,953,016 976,508 488,254 244,127 732,382 366,191 1,098,574 549,287 1,647,862 823,931 2,471,794 1,235,897 3,707,692 1,853,846 926,923 2,780,770 1,390,385 4,171,156 2,085,578 1,042,789 3,128,368 1,564,184 782,092 391,046 195,523 586,570 293,285 879,856 439,928 219,964 109,982 54,991 164,974 82,487 247,462 123,731 371,194 185,597 556,792 278,396 139,198 69,599 208,798 104,399

More profiles

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