λ
Sigma Notebook

3,800,916

22 × 32 × 7 × 15083
Abundant Even Composite

3,800,916 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 7 × 15083 and its 36 divisors sum to 10,981,152.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 15083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,981,152
Proper Divisor Sum 7,180,236
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3800887 ← → #3800917

Radix Representation

Decimal 3800916
Binary 1110011111111101010100 (22 bits)
Octal 0o16377524
Hexadecimal 0x39FF54

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 15,083 30,166 45,249 60,332 90,498 105,581 135,747 180,996 211,162 271,494 316,743 422,324 542,988 633,486 950,229 1,266,972 1,900,458 3,800,916

Collatz Trajectory (154 steps to reach 1)

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

3,800,916 1,900,458 950,229 2,850,688 1,425,344 712,672 356,336 178,168 89,084 44,542 22,271 66,814 33,407 100,222 50,111 150,334 75,167 225,502 112,751 338,254 169,127 507,382 253,691 761,074 380,537 1,141,612 570,806 285,403 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474 2,057,237 6,171,712 3,085,856 1,542,928 771,464 385,732 192,866 96,433 289,300 144,650

More profiles

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