λ
Sigma Notebook

2,641,228

22 × 19 × 23 × 1511
Deficient Even Composite

2,641,228 is even and not a perfect square. Its factorization is 2^2 × 19 × 23 × 1511 and its 24 divisors sum to 5,080,320.

Prime Factor Structure

Factorization String 2^2 × 19 × 23 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,080,320
Proper Divisor Sum 2,439,092
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2641217 ← → #2641237

Radix Representation

Decimal 2641228
Binary 1010000100110101001100 (22 bits)
Octal 0o12046514
Hexadecimal 0x284D4C

Divisor Catalog (24)

1 2 4 19 23 38 46 76 92 437 874 1,511 1,748 3,022 6,044 28,709 34,753 57,418 69,506 114,836 139,012 660,307 1,320,614 2,641,228

Collatz Trajectory (187 steps to reach 1)

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

2,641,228 1,320,614 660,307 1,980,922 990,461 2,971,384 1,485,692 742,846 371,423 1,114,270 557,135 1,671,406 835,703 2,507,110 1,253,555 3,760,666 1,880,333 5,641,000 2,820,500 1,410,250 705,125 2,115,376 1,057,688 528,844 264,422 132,211 396,634 198,317 594,952 297,476 148,738 74,369 223,108 111,554 55,777 167,332 83,666 41,833 125,500 62,750 31,375 94,126 47,063 141,190 70,595 211,786 105,893 317,680 158,840 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520

More profiles

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