λ
Sigma Notebook

2,606,220

22 × 32 × 5 × 14479
Abundant Even Composite

2,606,220 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 5 × 14479 and its 36 divisors sum to 7,906,080.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 14479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,906,080
Proper Divisor Sum 5,299,860
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2606189 ← → #2606221

Radix Representation

Decimal 2606220
Binary 1001111100010010001100 (22 bits)
Octal 0o11742214
Hexadecimal 0x27C48C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14,479 28,958 43,437 57,916 72,395 86,874 130,311 144,790 173,748 217,185 260,622 289,580 434,370 521,244 651,555 868,740 1,303,110 2,606,220

Collatz Trajectory (125 steps to reach 1)

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

2,606,220 1,303,110 651,555 1,954,666 977,333 2,932,000 1,466,000 733,000 366,500 183,250 91,625 274,876 137,438 68,719 206,158 103,079 309,238 154,619 463,858 231,929 695,788 347,894 173,947 521,842 260,921 782,764 391,382 195,691 587,074 293,537 880,612 440,306 220,153 660,460 330,230 165,115 495,346 247,673 743,020 371,510 185,755 557,266 278,633 835,900 417,950 208,975 626,926 313,463 940,390 470,195 1,410,586 705,293 2,115,880 1,057,940 528,970 264,485 793,456 396,728 198,364 99,182

More profiles

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