λ
Integer Codex

2,665,404

22 × 32 × 72 × 1511
Abundant Even Composite

For 2,665,404, the 54 positive divisors have a total of 7,842,744. Removing 2,665,404 leaves 5,177,340, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 7,842,744
Proper Divisor Sum 5,177,340
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2665391 ← → #2665409

Radix Representation

Decimal 2665404
Binary 1010001010101110111100 (22 bits)
Octal 0o12125674
Hexadecimal 0x28ABBC

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1,511 1,764 3,022 4,533 6,044 9,066 10,577 13,599 18,132 21,154 27,198 31,731 42,308 54,396 63,462 74,039 95,193 126,924 148,078 190,386 222,117 296,156 380,772 444,234 666,351 888,468 1,332,702 2,665,404

Collatz Trajectory (231 steps to reach 1)

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

2,665,404 1,332,702 666,351 1,999,054 999,527 2,998,582 1,499,291 4,497,874 2,248,937 6,746,812 3,373,406 1,686,703 5,060,110 2,530,055 7,590,166 3,795,083 11,385,250 5,692,625 17,077,876 8,538,938 4,269,469 12,808,408 6,404,204 3,202,102 1,601,051 4,803,154 2,401,577 7,204,732 3,602,366 1,801,183 5,403,550 2,701,775 8,105,326 4,052,663 12,157,990 6,078,995 18,236,986 9,118,493 27,355,480 13,677,740 6,838,870 3,419,435 10,258,306 5,129,153 15,387,460 7,693,730 3,846,865 11,540,596 5,770,298 2,885,149 8,655,448 4,327,724 2,163,862 1,081,931 3,245,794 1,622,897 4,868,692 2,434,346 1,217,173 3,651,520

More profiles

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