λ
Sigma Notebook

4,044,030

2 × 3 × 5 × 163 × 827
Abundant Even Composite

4,044,030 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 163 × 827 and its 32 divisors sum to 9,777,024.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 163 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,777,024
Proper Divisor Sum 5,732,994
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4044023 ← → #4044031

Radix Representation

Decimal 4044030
Binary 1111011011010011111110 (22 bits)
Octal 0o17332376
Hexadecimal 0x3DB4FE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 163 326 489 815 827 978 1,630 1,654 2,445 2,481 4,135 4,890 4,962 8,270 12,405 24,810 134,801 269,602 404,403 674,005 808,806 1,348,010 2,022,015 4,044,030

Collatz Trajectory (110 steps to reach 1)

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

4,044,030 2,022,015 6,066,046 3,033,023 9,099,070 4,549,535 13,648,606 6,824,303 20,472,910 10,236,455 30,709,366 15,354,683 46,064,050 23,032,025 69,096,076 34,548,038 17,274,019 51,822,058 25,911,029 77,733,088 38,866,544 19,433,272 9,716,636 4,858,318 2,429,159 7,287,478 3,643,739 10,931,218 5,465,609 16,396,828 8,198,414 4,099,207 12,297,622 6,148,811 18,446,434 9,223,217 27,669,652 13,834,826 6,917,413 20,752,240 10,376,120 5,188,060 2,594,030 1,297,015 3,891,046 1,945,523 5,836,570 2,918,285 8,754,856 4,377,428 2,188,714 1,094,357 3,283,072 1,641,536 820,768 410,384 205,192 102,596 51,298 25,649

More profiles

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