λ
Sigma Notebook

2,249,790

2 × 3 × 5 × 19 × 3947
Abundant Even Composite

2,249,790 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 19 × 3947 and its 32 divisors sum to 5,685,120.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 3947
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,685,120
Proper Divisor Sum 3,435,330
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2249783 ← → #2249813

Radix Representation

Decimal 2249790
Binary 1000100101010000111110 (22 bits)
Octal 0o10452076
Hexadecimal 0x22543E

Divisor Catalog (32)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 3,947 7,894 11,841 19,735 23,682 39,470 59,205 74,993 118,410 149,986 224,979 374,965 449,958 749,930 1,124,895 2,249,790

Collatz Trajectory (135 steps to reach 1)

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

2,249,790 1,124,895 3,374,686 1,687,343 5,062,030 2,531,015 7,593,046 3,796,523 11,389,570 5,694,785 17,084,356 8,542,178 4,271,089 12,813,268 6,406,634 3,203,317 9,609,952 4,804,976 2,402,488 1,201,244 600,622 300,311 900,934 450,467 1,351,402 675,701 2,027,104 1,013,552 506,776 253,388 126,694 63,347 190,042 95,021 285,064 142,532 71,266 35,633 106,900 53,450 26,725 80,176 40,088 20,044 10,022 5,011 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380

More profiles

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